1.
An Inimitable Cryptographic Creation: Siri Bhoovalaya by Anil Kumar Jain, SMIEEE, FIETE, FIE(I),SMCSI, LMISCA email: ak.jain@ieee.orgweb-site: www.siri-bhoovalaya.org

2.
Agenda of this Presentation• Siri Bhoovalaya – historic perspective• Basic Elements of Siri Bhoovalaya• Multilingual Phonetic Alphabet Encoding Scheme• Deciphering Schemes or Bandhas• Steganography (Chitra Bandha) example• Conclusion

3.
Siri Bhoovalaya : A Historic Perspective• Created by Muni Kumudendu about a thousand year ago in Karnataka.• Muni Kumudendu was a Jain saint in lineage of Deshi Gana / Nandi Sangh.• About thousand years after its creation it was rediscovered about sixty years ago by Pandit Yellappa Shashtri through his determined and untiring efforts from the only available copy of the manuscript.• Its contents are primarily in Kannada, but in addition the languages in which the Chakras manifest poetry and verses include Prakrita, Samskrit, Telugu, Tamil, Apabhramsha and Pali etc. totaling 718 of dialects.

4.
Basic Elements of Siri Bhoovalaya• Chakra : One Chakra is arrangement of numbers (in range 1 to 64) in a matrix of 27 rows and 27 columns. There are only 1270 Chakras available and are classified into 56 Chapters.• Bandha : A Bandha is manner in which contents from a Chakra is revealed. Bandha basically describes the method to traverse the 27x27 matrix and substitute respective numbers into letters to uncover the Shlokas or verses hidden therein the Chakra. There are many Bandhas which are identified as Chakra-Bandha, Navmaank-Bandh, Shreni-Bandha, Hans- Bandha, Anu-Bandha, Mayur-Bandha, Saras-Bandha, Padma- Bandha etc. etc.• Kumudendu Code Table: This table is used for substituting Numerals in all the Chakras into corresponding Phonetic Aplhabet Characters . Some of the characters don’t find usage in contemporary scenario and some find usage in specific languages as well.

5.
Multilingual Phonetic Alphabet Encoding Scheme Kumudendu Code Table (for implementation of Mono-alphabetic Substitution Cipher)

6.
Multilingual Phonetic Alphabet Classification in Kumudendu Code Table

7.
Chakra-Bandha(Implementation of one of the Transposition Ciphers)

8.
First Chakra in Siri Bhoovalaya 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 59 23 1 16 1 28 28 1 1 56 59 4 56 1 1 47 16 34 1 7 16 1 1 7 56 1 60 2 53 54 47 28 1 47 45 28 7 4 59 41 4 45 1 30 47 47 45 42 53 28 51 1 52 1 1 3 1 22 1 30 2 1 2 55 30 1 7 45 47 52 1 4 1 47 1 1 1 1 53 1 52 59 52 4 59 30 2 55 55 13 16 2 53 60 1 4 16 47 48 45 16 56 56 43 45 1 56 1 4 1 13 5 47 45 1 1 22 30 51 1 2 56 38 30 4 1 1 56 1 1 16 1 57 7 56 56 1 22 1 6 54 52 52 45 1 7 55 48 1 58 52 35 28 55 1 38 45 30 55 4 47 7 45 38 45 38 1 7 1 1 1 28 13 56 55 51 54 1 1 1 1 42 2 4 4 1 43 16 47 7 1 13 4 51 4 8 28 53 47 22 8 1 53 59 38 7 43 40 1 52 59 54 30 1 45 16 1 28 23 50 7 43 43 9 1 2 45 51 30 1 52 58 48 59 47 54 4 4 1 47 45 47 56 28 1 45 1 13 7 7 710 55 1 53 47 56 1 1 7 1 1 2 60 48 56 1 1 16 1 1 54 1 52 17 30 54 45 4511 59 56 52 1 45 1 55 28 52 28 1 2 1 52 54 4 43 60 48 28 1 16 23 8 53 7 112 2 1 53 52 43 23 2 4 16 52 44 54 1 2 42 7 1 7 47 30 28 48 47 1 54 52 1613 45 54 23 4 28 45 45 30 1 59 1 56 28 2 54 53 38 2 2 1 28 55 40 60 4 50 2814 2 13 47 1 1 4 17 45 1 56 1 52 56 51 1 47 55 55 45 7 2 54 1 56 7 1 115 23 4 53 54 59 48 13 56 1 47 23 1 2 55 16 1 1 47 40 54 16 52 1 47 60 43 6016 45 16 43 1 7 47 1 7 1 4 54 54 1 43 28 28 7 1 2 7 52 30 1 4 47 4 1317 42 1 54 13 1 28 1 45 42 5 48 56 1 1 1 52 54 7 1 1 2 56 56 2 43 1 118 56 43 22 45 56 43 2 2 56 1 8 48 59 59 7 16 53 55 53 48 1 1 46 2 30 53 119 47 45 1 2 54 56 56 2 55 51 4 16 7 13 30 16 1 1 4 52 52 4 54 47 2 38 120 1 54 60 56 54 1 60 1 1 16 40 38 17 1 47 56 33 55 1 1 59 48 1 53 7 1 121 1 52 16 1 60 1 30 53 30 7 47 13 13 22 8 13 45 59 54 1 2 42 54 47 53 52 5322 16 30 1 4 52 47 56 1 28 16 1 22 59 51 1 1 7 28 53 60 7 1 16 16 1 1 5823 4 53 56 1 52 2 13 52 38 30 45 7 1 30 56 16 1 1 1 30 48 56 54 54 55 28 4524 1 47 47 1 28 22 1 47 1 1 45 46 1 1 47 53 55 52 1 1 7 43 2 1 1 1 4325 1 4 53 1 45 43 16 55 52 4 47 55 45 22 51 56 1 38 13 30 2 28 56 13 56 28 5526 4 16 46 1 1 16 1 1 1 1 1 47 59 4 8 38 58 1 1 48 1 7 22 1 1 1 6027 52 4 30 56 53 52 54 1 30 52 1 16 54 7 58 1 30 54 1 56 51 53 56 57 56 4 60

9.
Chakra Bandha Example with 5x5 matrix Example Chakra (5x5) Example Chakra-Bandha (5x5) 1 2 3 4 5 1 2 3 4 5 1 4 53 28 45 4 1 17 24 1 8 15 2 1 45 47 59 54 2 23 5 7 14 16 3 7 16 1 56 55 3 4 6 13 20 22 4 28 43 8 1 52 4 10 12 19 21 3 5 10 51 1 7 7 5 11 18 25 2 9 Result of Applying Bandha28 7 52 7 45 16 47 45 7 28 10 43 1 59 4 54 4 51 8 56 1 55 1 53 1

10.
Applying Substitution using Kumudendu Code Table (Mono-alphabetic Substitution Cipher)Result after applying Chakra-Bandh (TransposeCipher) – from previous slide :

11.
Output from Chakra Bandha Applied to first Chakra of Siri Bhoovalaya Resultant text after conjoining phonetic alphabets :

12.
Steganography (Chitra Bandha) exampleIn Steganography the intended message is hiddeneither to conceal its existence or render it unintelligibleto outsiders. In following example a graphical figure isused as key to extract the hidden message.

13.
Superimposing the figure on Chakra atdefined position to reveal content in those particular cells in manner as shown

14.
Result of Chitra-BandhaCreate string of numbers from the Superimposed Chakra’s cellsin the same order as marked on the Chitra-Bandha. Then applyMono-alphabetic Substitution Cipher as shown in the tablebelow:

15.
ConclusionSiri Bhoovalaya is still a largely un-explored terrain & a creative MultidisciplinaryApproach is required to open up new pages of knowledge. The measures includes:1. Computerization for Deciphering known Number Patterns (Bandhas) hidden in Chakras (Algorithmic and Non Algorithmic)2. Computerization for Discovery of new and yet unexplored Bandhas.3. Specialist Linguists to apprehend content in respective languages4. Domain Knowledge Experts to interpret the text.A Great Question which still remains to be answered :How could Muni Kumudendu accomplished it about athousand year ago ??