Information on Result #1318070
Linear OA(8119, 132, F8, 86) (dual of [132, 13, 87]-code), using construction X with Varšamov bound based on
- linear OA(8115, 127, F8, 86) (dual of [127, 12, 87]-code), using
- discarding factors / shortening the dual code based on linear OA(8115, 128, F8, 86) (dual of [128, 13, 87]-code), using
- 2 times truncation [i] based on linear OA(8117, 130, F8, 88) (dual of [130, 13, 89]-code), using
- strength reduction [i] based on linear OA(8117, 130, F8, 89) (dual of [130, 13, 90]-code), using
- a “GraQC†code from Grassl’s database [i]
- strength reduction [i] based on linear OA(8117, 130, F8, 89) (dual of [130, 13, 90]-code), using
- 2 times truncation [i] based on linear OA(8117, 130, F8, 88) (dual of [130, 13, 89]-code), using
- discarding factors / shortening the dual code based on linear OA(8115, 128, F8, 86) (dual of [128, 13, 87]-code), using
- linear OA(8115, 128, F8, 82) (dual of [128, 13, 83]-code), using Gilbert–Varšamov bound and bm = 8115 > Vbs−1(k−1) = 35 431464 832193 094705 490059 319035 816078 391611 216354 028078 567504 882048 458368 870396 167006 569546 632563 859534 [i]
- linear OA(83, 4, F8, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,8) or 4-cap in PG(2,8)), using
- dual of repetition code with length 4 [i]
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.
Other Results with Identical Parameters
None.
Depending Results
None.