Information on Result #1301076
Linear OA(4241, 299, F4, 124) (dual of [299, 58, 125]-code), using construction X with Varšamov bound based on
- linear OA(4240, 297, F4, 124) (dual of [297, 57, 125]-code), using
- 3 times truncation [i] based on linear OA(4243, 300, F4, 127) (dual of [300, 57, 128]-code), using
- concatenation of two codes [i] based on
- linear OA(6431, 50, F64, 31) (dual of [50, 19, 32]-code or 50-arc in PG(30,64)), using
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), using
- Reed–Solomon code RS(33,64) [i]
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), 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(6431, 50, F64, 31) (dual of [50, 19, 32]-code or 50-arc in PG(30,64)), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(4243, 300, F4, 127) (dual of [300, 57, 128]-code), using
- linear OA(4240, 298, F4, 123) (dual of [298, 58, 124]-code), using Gilbert–Varšamov bound and bm = 4240 > Vbs−1(k−1) = 2 166121 937329 294619 791918 075554 717477 262917 745318 727436 789828 705419 843183 951672 402727 942293 563907 227958 192878 961277 207427 442783 818395 854135 609344 [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.