Information on Result #1302220
Linear OA(783, 95, F7, 57) (dual of [95, 12, 58]-code), using construction X with Varšamov bound based on
- linear OA(782, 93, F7, 57) (dual of [93, 11, 58]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(781, 91, F7, 57) (dual of [91, 10, 58]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(775, 83, F7, 57) (dual of [83, 8, 58]-code), using
- 5 times truncation [i] based on linear OA(780, 88, F7, 62) (dual of [88, 8, 63]-code), using
- linear OA(775, 85, F7, 52) (dual of [85, 10, 53]-code), using Gilbert–Varšamov bound and bm = 775 > Vbs−1(k−1) = 1583 206773 232801 420350 273521 618051 969940 155431 377400 226340 195553 [i]
- linear OA(74, 6, F7, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,7)), using
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- Reed–Solomon code RS(3,7) [i]
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- linear OA(775, 83, F7, 57) (dual of [83, 8, 58]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(781, 92, F7, 56) (dual of [92, 11, 57]-code), using Gilbert–Varšamov bound and bm = 781 > Vbs−1(k−1) = 238 095211 512487 182012 064517 610897 014862 029320 569185 142077 879619 435799 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(781, 91, F7, 57) (dual of [91, 10, 58]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(782, 94, F7, 56) (dual of [94, 12, 57]-code), using Gilbert–Varšamov bound and bm = 782 > Vbs−1(k−1) = 1425 798126 903591 355785 969339 438569 381845 006733 552875 578100 545106 719079 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code) (see above)
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.