files / problems / covering / compute / H_R3_r26_n817.txt

42 KB · on GitHub

# Construction QM_5^3 (arXiv:2511.02542 Theorem 7.3;
# called QM_3^5 in the q6b brief), with m=5 and D=D_4.
# C0 is the cyclic perfect binary Golay [23,12,7]_2 radius-3 code;
# V_10 is the certified H_r10_n50 radius-2 code.
# Golay generator polynomial 0xAE3; GF(32) modulus 0x25.
# The 23 Golay singleton blocks use distinct indicators 1..23.
# r=11+3*5=26; n=32*(23+1)+50-1=817.
# LSB-first: bit i of a column integer is row i+1.
# 26 rows, 817 columns; generated by compute/build_qm35.py.
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