witness #1660

N: 320
|A|: 12
exponent log |A| / log N: 0.4308

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 03:48:02 UTC

Elements (12)

1, 45, 56, 65, 84, 94, 115, 151, 173, 179, 276, 286

Commentary

Found via the 2-adic parity-lift characterization. For N=2M with M=160, every witness projects injectively mod M and has the form x + eps(x) M. Each nontrivial base relation a+3b-2c-2d=kM imposes the XOR constraint eps(a) xor eps(b)=1-k (mod 2). I searched for a large support S⊂Z/160 with consistent XOR constraints using greedy local exchange, then lifted it to this 12-point witness.

last edited by Yongxi (Aaron) Lin at 2026-08-08 03:48:02 UTC · history