cryptohard

plane-or-exchange

dicectf_2026

Task: Break a Diffie-Hellman-like key exchange based on knot theory Alexander polynomials. Solution: Exploit multiplicativity of Alexander polynomial over connected sums to recover shared secret from public keys.

$ ls tags/ techniques/

key_exchange diffie_hellman xor_encryption knot_theory alexander_polynomial connected_sum seifert_matrix reidemeister_moves polynomial_interpolation

alexander_polynomial_factorizationconnected_sum_multiplicativity_attacknumerical_evaluation_interpolationpolynomial_division

Analysis

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$ python3 exploit.py --target 192.168.1.1 --port 8080
[*] Connecting to target...
[+] Shell obtained!

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