Information on Result #1303663
Linear OA(1655, 652, F16, 23) (dual of [652, 597, 24]-code), using construction X with Varšamov bound based on
- linear OA(1654, 650, F16, 23) (dual of [650, 596, 24]-code), using
- trace code [i] based on linear OA(25627, 325, F256, 23) (dual of [325, 298, 24]-code), using
- construction X applied to AG(F,296P) ⊂ AG(F,299P) [i] based on
- linear OA(25625, 320, F256, 23) (dual of [320, 295, 24]-code), using algebraic-geometric code AG(F,296P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OA(25622, 320, F256, 20) (dual of [320, 298, 21]-code), using algebraic-geometric code AG(F,299P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (see above)
- linear OA(2562, 5, F256, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- construction X applied to AG(F,296P) ⊂ AG(F,299P) [i] based on
- trace code [i] based on linear OA(25627, 325, F256, 23) (dual of [325, 298, 24]-code), using
- linear OA(1654, 651, F16, 22) (dual of [651, 597, 23]-code), using Gilbert–Varšamov bound and bm = 1654 > Vbs−1(k−1) = 8315 910470 001546 144463 334715 808119 402214 962918 193809 032774 355376 [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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.