Information on Result #1301049
Linear OA(4236, 294, F4, 121) (dual of [294, 58, 122]-code), using construction X with Varšamov bound based on
- linear OA(4235, 292, F4, 121) (dual of [292, 57, 122]-code), using
- 2 times truncation [i] based on linear OA(4237, 294, F4, 123) (dual of [294, 57, 124]-code), using
- concatenation of two codes [i] based on
- linear OA(6430, 49, F64, 30) (dual of [49, 19, 31]-code or 49-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- linear OA(6430, 49, F64, 30) (dual of [49, 19, 31]-code or 49-arc in PG(29,64)), using
- concatenation of two codes [i] based on
- 2 times truncation [i] based on linear OA(4237, 294, F4, 123) (dual of [294, 57, 124]-code), using
- linear OA(4235, 293, F4, 120) (dual of [293, 58, 121]-code), using Gilbert–Varšamov bound and bm = 4235 > Vbs−1(k−1) = 1929 361294 231297 767354 121725 640081 118236 994889 972266 879829 646896 077430 938344 740698 781392 450499 171120 053445 463527 968164 504790 355410 549665 944256 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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.