Information on Result #1300976
Linear OA(4231, 289, F4, 118) (dual of [289, 58, 119]-code), using construction X with Varšamov bound based on
- linear OA(4230, 287, F4, 118) (dual of [287, 57, 119]-code), using
- 1 times truncation [i] based on linear OA(4231, 288, F4, 119) (dual of [288, 57, 120]-code), using
- concatenation of two codes [i] based on
- linear OA(6429, 48, F64, 29) (dual of [48, 19, 30]-code or 48-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), 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(6429, 48, F64, 29) (dual of [48, 19, 30]-code or 48-arc in PG(28,64)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(4231, 288, F4, 119) (dual of [288, 57, 120]-code), using
- linear OA(4230, 288, F4, 117) (dual of [288, 58, 118]-code), using Gilbert–Varšamov bound and bm = 4230 > Vbs−1(k−1) = 1 696319 787983 566597 608622 324368 547373 034406 048042 360923 901329 383906 094679 487312 156288 300733 138481 264753 728517 300853 003125 647532 394585 495944 [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.