Information on Result #1288016
Linear OA(276, 105, F2, 26) (dual of [105, 29, 27]-code), using construction Y1 based on
- linear OA(277, 127, F2, 26) (dual of [127, 50, 27]-code), using
- the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- nonexistence of OA(250, 127, S2, 22), because
- discarding factors would yield OA(250, 119, S2, 22), but
- the Rao or (dual) Hamming bound shows that M ≥ 1171 198057 485824 > 250 [i]
- discarding factors would yield OA(250, 119, S2, 22), but
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.