THE GRAND TERNARY CRYPTOGRAPHIC OPEN CHALLENGE - 2026

Technical Report & Open Attack Challenge DocumentVersion: 1.0.0 | Release Date: September 2026Zenodo Archive / IACR ePrint Submission Candidate Author: S. Ravichandran AyyerAffiliation: Independent Researcher, Linguistics & CryptographyLocation: Puttur, Andhra Pradesh, India================================================================================ ABSTRACT:---------This paper introduces a non-ASCII, multi-stage structural cipher operating entirely on Base-3 (Ternary) arithmetic. The cryptographic framework relies on a 512-Trit Master Key, executing 256 symmetric cycles where 6 distinct sub-keys are dynamically derived per cycle (totaling 1,536 sub-keys). Intra-cycle operations involve Modular Addition, Bijective S-Boxes, Dynamic Shift Permutations, and Dual Substitution Logic. We present a 268-Trit encrypted challenge ciphertext derived from a meaningful plaintext passage and invite cryptanalysts, mathematicians, and security researchers worldwide to recover the original plaintext without access to the 512-Trit Master Key. ================================================================================1. MATHEMATICAL FORMULATION & ALGORITHM SPECIFICATION================================================================================ 1.1 Character Matrix Mapping (Bijective Base-3)-----------------------------------------------The cipher uses a strict 81-character set ($3^4 = 81$) mapped directly to 4-trit tuples $(t_0, t_1, t_2, t_3) \in \{0, 1, 2\}^4$. Matrix Mapping Function: Index(char) = t_0 + 3(t_1) + 9(t_2) + 27(t_3) 1.2 Master Key & Key Derivation Function (KDF)----------------------------------------------- Master Key Size: 512 Trits ($K_M \in \{0, 1, 2\}^{512}$)- Key Space Complexity: 3^512 Base Complexity- Dynamic Sub-Keys Generated: 1,536 Keys For cycle $c \in \{1, \dots, 256\}$ and sub-key index $k \in \{1, \dots, 6\}$: K_{c, k}[i] = (K_M[i] + 157c + 313k + 17i + K_M[i] \cdot c) \pmod 3 where i \in \{0, \dots, 512\} 1.3 Intra-Cycle Transformation Layers-------------------------------------Each cycle executes 6 non-linear stages: Stage 1: Key 1 Addition + S-Box 1 S(x) Stage 2: Shift Permutation 1 [(cycle * 7) mod N] + Key 2 Addition Stage 3: S-Box 2 Addition + Key 3 Addition Stage 4: Shift Permutation 2 [(cycle * 19) mod N] + Key 4 Addition Stage 5: Dual S-Box Substitution S_1(S_2(x)) + Key 5 Addition Stage 6: Final Cycle Shift [(cycle * 31) mod N] + Key 6 Addition ================================================================================2. THE OPEN CHALLENGE DATASET================================================================================ The following 268-Trit stream was generated by encrypting a secret plaintext using the 256-cycle algorithm with a randomly generated 512-Trit Master Key. Ciphertext Stream (268 Trits):------------------------------[1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1] ================================================================================3. INVITATION & ATTACK CRITERIA================================================================================ Researchers are invited to attempt the recovery of the original plaintext. Successful Attack Conditions:1. Full Plaintext Recovery: Decrypting the 268-Trit ciphertext back to its original 67-character English string without the Master Key.2. Key Reconstruction: Reconstructing the 512-Trit Master Key or demonstrating a key-space shortcut reducing total complexity below 3^512. Contact & Verification:-----------------------Upon successful recovery, submit the solution along with the mathematical/algorithmic proof to the author for open public verification. ==============================