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Ciphers, Cryptology and Gematria

http://home.att.net/~tleary/cryptolo.htm

Cryptology in the 16th and 17th Centuries

By Thomas (Penn) Leary


ADDRESS: 218 So. 95th St. Omaha NE 68114, Internet: tleary@attglobal.net

ABSTRACT: A brief survey of cryptology in Elizabethan and Jacobean times and to the Restoration with reference to previous cipher studies.

KEYWORDS: Elizabethan, Trithemius, Porta, Friedman, acrostics, Bacon, Biliterarie Alphabet, steganography, Shakespeare authorship, Walsingham, Wilkins.

Blaise De Vigenère (1523-1596) author of Traictè des Chiffres spoke philosophically about this subject [2]:

All nature is merely a cipher and a secret writing. The great name and essence of God and His wonders -- the very deeds, projects, words, actions, and demeanor of mankind -- what are they, for the most part, but a cipher?

Saphar meaning to number was the ancient Hebrew word for the English "cipher". The word was and still may be used as a term of derision to mock an unworthy ignorant person. Organ makers refer to the word as meaning a sound volunteered by a imperfect organ without pressing any key. It may be nothing; a naught, a zero, according to mathematicians.

But we shall speak of it as indicating a method of secret communication. According to the comprehensive Oxford English Dictionary, these forms of the word cipher were also acceptable in the Seventeenth Century: sipher, cyfer, cifer, ciphre, sypher, ziphre, scypher, cyphar, cyphre, ciphar, zifer, cypher. Francis Bacon who wrote about it spelled it as ciphras in Latin.

Perhaps the earliest allusion is in Homer's Iliad. Bellerophon was enticed (harassed we must say now) by Anteia the King's wife. When he refused her caresses she trumpeted rape. The King ordered him to Lycia to carry a sealed enciphered message to their King commanding his execution. But after that King deciphered the message for some reason he married him off to his own daughter. Afterward Bellerophon rode off on Pegasus and became a god. Nobody much believes this story now.

Elizabethan cryptology owed a debt to the Greek Polybius. He was the first to use numbers to encipher letters as in the following:

1 2 3 4 5
1 A B C D E
2 F G H I K
3 L M N O P
4 Q R S T U
5 V W X Y Z

Thus "dog" may be enciphered as 14 34 22 or alternately 41 43 22.

Cryptography prospered during the Middle Ages, but most systems were elementary and based on the substitution of a different letter of the alphabet (a "Caesar") while others used numerals or invented symbols. Examples of these have been found in 9th and 10th Century manuscripts [9]. But with the European Renaissance and the later English revival of interest in arts and literature cryptology became a separate science at the same time that its practitioners searched for a new universal language.

The mysteries of cryptology had been well guarded and kept in monasteries or in the secret archives of princes and kings; few of its methods were openly published. But the thirst for means of clandestine communication became stronger in England and on the Continent. War and politics demanded such tools.

Wayne Shumaker, a master of old Latin and German [6], has discussed the copious writings of Johannes Trithemius (1462-1526) who was a German monk. Trithemius' book Polographiae libri sex (1518), written in Latin, was mostly concerned with history and theology but the author has been called the first theoretician of cryptography. His Steganographia was circulated while the manuscript was still in composition and John Dee, who owned the largest private library in England copied at least half of it in 1563.

Steganography was the basis for most of Trithemius' schemes and a key, a hint, was customarily included in the ciphertext. Professor Shumaker explains one method (the alternate significant letters will be shown as underlined):

PAMERSIEL ANOYR MADRISEL EBRASOTHEAN ABRULGES ITRASBIEL NADRES ORMENU ITULES RABLON HAMORPHIEL.

Shumaker ably interprets:

If we ignore the first and last words, which are nulls, that is, insignificant for the meaning and read only the alternate letters of the rest, we arrive at a key for the decoding of the following cryptogram: "Nym die ersten Bugstaben de omni uerbo," or Take the first letters of every word.

Thus alternate letters of the plaintext may be made significant while the remainder are nulls. As a reward for such artifice the first printing of Trithemius' Steganographia (1606) was placed on the Vatican's prohibited Index and was characterized as "full of peril and superstition." [2]

In Book V is found his contribution to polyalphabeticity as explained by David Kahn:

The simplest tableau is one that uses the normal alphabet in various positions as the cipher alphabets. Each cipher alphabet produces a Caesar substitution. This is precisely Trithemius' tableau, which he called his "tabula recta." Its first and last few lines were:

a b c d e f g h i k l m n o p q r s t u x y z w
b c d e f g h i k l m n o p q r s t u x y z w a
c d e f g h i k l m n o p q r s t u x y z w a b
d e f g h i k l m n o p q r s t u x y z w a b c
e f g h i k l m n o p q r s t u x y z w a b c d
. . . . . . . . . . . . . . . . . . . . . . . .
z w a b c d e f g h i k l m n o p q r s t u x y
w a b c d e f g h i k l m n o p q r s t u x y z

Trithemius used this tableau for his polyalphabetic encipherment, and in the simplest manner possible. He enciphered the first letter with the first alphabet, the second with the second, and so on. (He gave no separate plaintext alphabet, but the normal alphabet at the top can serve.) Thus a plaintext beginning Hunc caveto virum ... became HXPF GFBMCZ FUEIB.... In this particular message, he switched to another alphabet after 24 letters, but in another example he followed the more normal procedure of repeating the alphabets over and over again in groups of 24....

Trithemius' system is also the first instance of a progressive key in which all the available cipher alphabets are exhausted before any are repeated [2].

Kahn also quotes Giovanni Battista della Porta (b. 1535) who published, in 1563, a famous cryptographic book, De Furtivis Literarum Notis:

He urged the use of synonyms in plaintexts, noting that "It will also make for difficulty in the interpretation if we avoid the repetition of the same word." Like the Argentis [a famous family of Italian cryptanalysts], he suggested deliberate misspellings of plaintext words: "For it is better for a scribe to be thought ignorant than to pay the penalty for the detection of plans," he wrote.

Porta described transposition, substitution, by symbol and substitution and by letters of another alphabet. His table consisted of thirteen key letters, accompanied by an alphabet which changed in its lower line one place to the right for every pair of capitals:

A B a b c d e f g h i j k l m
n o p q r s t u v w x y z
C D a b c d e f g h i j k l m
z n o p q r s t u v w x y
E F a b c d e f g h i j k l m
y z n o p q r s t u v w x

(and so on)

 

Della Porta's system was quite simple. Supposing that we wanted to encipher the letter "e" by using the key letter F, we merely have to look along the alphabet which F controls to discover that the letter p lies directly beneath the "e"; "p" then is the cipher letter. He also suggested the use of the "probable word" in cryptanalysis saying that the "interpreter can make a shrewd guess at the common words that concern the matter at hand...."

    According to W. T. Smedley [7] Porta's 1563 book was reprinted in England by one John Wolfe in 1591. It was falsely dated 1563 as if it were the first edition, and a "double A" ornament was added at the top of the dedication.


    This was the first use of this design. The general form was also printed as a heading in Shakespeare's Venus & Adonis, Lucrece, the Sonnets, most of the quartos, many times in the 1623 Folio edition of Shakespeare s works, and also in some others that Smedley attributes to Francis Bacon. It also appears in Napier's book on logarithms and in another dedicated to Anthony Bacon, Francis brother. The last use of the AA device was in an edition of Bacon's Essays published in 1720.

    Perhaps the most modest kind of cipher is the acrostic. The initial consecutive letters of a poem may be composed to form a word, a name or a sentence. The poets of the Italian Renaissance were fond of acrostics as was the English Sir John Davies (1569-1626). He wrote twenty-six elegant Hymns to Astraea each an acrostic upon "Elizabetha Regina" while Mary Fage in Fames Roule (1637) venerated in such verses 420 luminaries of her age. The British essayist and poet Joseph Addison 1672-1719 reported "I have seen some of them where the verses have not only been edged by a name at each extremity but have had the same name running down like a seam through the middle of the poem."

    A remarkable acrostic was devised in verse and attributed to the 4th Century sibyl of the Ionian city of Erythrae. The initial letters form words [Greek lettering] which translate as "Jesus Christ the Son of God the Savior." The initials of the shorter form of this again make up the word [Greek lettering] (fish) producing an acrostic of an acrostic to which a mystical meaning has been attached.

    William F. Friedman in his Shakespearean Ciphers Examined discusses an acrostic similar to what John Davies had performed [1]:

    We have already remarked that acrostics were popular in Elizabethan literature; it should also be stressed that spelling in those days was erratic. Sir John Salusbury, 1566-1612 who was as devoted to acrostics as he was to a lady called Dorothy Halsall, enfolded her name in poem after poem [citing Bryn Mawr College Monographs, vol. XIV, 1913]. One of them runs [with critical letters shown as underlined]:

Tormented heart in thrall, Yea thrall to love,
Respecting will, Heart-breaking gaine doth grow,
Ever DOLOBELIA, Time will so proue,
Binding distresse, O gem wilt thou allowe,
This fortune my will Repose-lesse of ease,
Vnlesse thou LEDA, Over-spread my heart,
Cutting all my ruth, dayne Disdaine to cease,
I yield to fate, and welcome endles Smart.

    This, with occasional irregularities, conceals the name CUTBERT (Dorothy s husband) reading the initial letters upwards from the seventh line, and the two parts of the name DOROTHY HALSALL as the letters on either side of the break in the middle of each line; the initials I.S. (for Iohn Salusbury) appear as the first letter of the first word and the first letter of the last word in the final line. . .In all, Salusbury uses six different versions of his own name in various acrostic signatures; spells the name Francis as Fransis wherever it suits him; regards I and IE as interchangeable with Y; and replaces J's with I's or I's with J's according to whim.

    Thus Friedman does not insist upon accurate name spelling and permits occasional irregularities. The cipher does not read from top to bottom; it is reversed and the plaintext travels from bottom to top. Here, he writes,

is one of a number of instances which could be cited; but what makes it true that they, and the others, are genuine cases of cryptography is that the validity of the deciphered text and the inflexibility of the systems employed are obvious.... In each case, there is no room to doubt that they were put there by the deliberate intent of the author; the length of the hidden text, and the absolutely rigid order in which the letters appear, combine to make it enormously improbable that they just happened to be there by accident.

    Friedman may not have known that Shakespeare's Phoenix and the Turtle was dedicated to this same John Salusbury.

    Francis Bacon (1561-1626) the renowned English philosopher and statesman had a particular knowledge of cryptology. He mentions it cogently in one of his works. In the Advancement of Learning (1623) Bacon had this to say:

     The knowledge of Cyphering, hath drawne on with it a knowledge relative unto it, which is the knowledge of Discyphering, or of Discreting Cyphers, and the Capitulations of secrecy past between the Parties. Certainly it is an Art which requires great paines and a good witt and is (as the other was) consecrate to the Counsels of Princes: yet notwithstanding by diligent prevision it may be made unprofitable, though, as things are, it be of great use. For if good and faithfull Cyphers were invented & practised, many of them would delude and forestall all the Cunning of the Decypherer, which yet are very apt and easie to be read or written: but the rawnesse and unskilfulnesse of Secretaries, and Clarks in the Courts of Princes, is such that many times the greatest matters are Committed to futile and weake Cyphers.

    At another place Bacon continues on the same subject:

For CYPHARS; they are commonly in Letters or Alphabets, but may bee in Wordes. The kindes of CYPHARS, (besides the SIMPLE CYPHARS with Changes, and intermixtures of NVLLES, and NONSIGNIFICANTS) are many, according to the Nature or Rule of the infoulding: WHEELE-CYPHARS, KAY-CYPHARS, DOVBLES, &c. But the vertues of them, whereby they are to be preferred, are three; that they be not laborious to write and reade; that they bee impossible to discypher; and in some cases, that they bee without suspition. The highest Degree whereof, is to write OMNIA PER OMNIA; which is vndoubtedly possible, with a proportion Quintuple at most, of the writing infoulding, to the writing infoulded, and no other restrainte whatsoever. This Arte of Cypheringe, hath for Relatiue, an Art of Discypheringe; by supposition vnprofitable; but, as things are, of great vse. For suppose that Cyphars were well mannaged, there bee Multitudes of them which exclude the Discypherer. But in regarde of the rawnesse and vnskilfulnesse of the handes, through which they passe, the greatest Matters, are many times carryed in the weakest CYPHARS.

    By ciphers without suspition, Bacon meant steganography. This may be accomplished by the use of acrostics, whereby the first capitalized letter of each line in a poem may convey the message; the strategy included his own Biliterarie Cipher. Here the very existence of a cipher writing may never be noticed.

    In passing, Bacon's statement that "cyphars ... may be in words" has been generally understood to refer to codes by which a number or a word may designate another secret word or phrase. However it may also be interpreted to mean that an opentext word may itself encipher a different word or concealed name. For example the word "Bote-swaine" may be decrypted as "fs biacen " using a 21 letter alphabet and the fourth letter forward from each ciphertext letter. Francis Bacon abbreviated his first name as "Fs" in his signature while "biacen" is a phonetic spelling of his surname.

    It may be significant that "Bote-swaine" is the first word of dialogue on the first page of the first play of the first printing of "The Tempest" in the Shakespeare First Folio of 1623. Or as some have suggested this is merely a coincidence. And the spelling is wrong isn't it? (Heavens this is not even a proper acrostic). Hit here for a discussion of Bote-swaine.

    Bacon continues in Book VI of The Advancement of Learning with an example; it is, he writes "an other invention which in truth we devised in our youth when [1576] we were at Paris... It containeth the highest degree of Cypher...."

    Bacon explains, "by this Art ... a man may expresse the intentions of his minde at any distance ... by objects ... capable of a twofold difference onely; as by Bells by Trumpets by Lights and Torches ... and any instruments of like nature." He illustrates this with an example of a message printed in two different fonts of type as Manere te volo donec venero; here the underlined = "a" form and the roman = "b" form. The opentext means "Stay till I come for you." The plaintext is "Fuge " or "flee." The scheme is steganographic while the last three letters are "Nulloes or non-significant."

An Example of a Bi-literarie Alphabet.

 

 

CRYPTOLOGISTS: Dee was among the first to use ciphers from magic and cabala to encode secret messages for political purposes and to add layers of meaning and secret codes to literature.

<> Dr. John Dee, 007 & Queen Elizabeth I