Information on Result #1301162
Linear OA(4255, 319, F4, 130) (dual of [319, 64, 131]-code), using construction X with Varšamov bound based on
- linear OA(4254, 317, F4, 130) (dual of [317, 63, 131]-code), using
- 1 times truncation [i] based on linear OA(4255, 318, F4, 131) (dual of [318, 63, 132]-code), using
- concatenation of two codes [i] based on
- linear OA(6432, 53, F64, 32) (dual of [53, 21, 33]-code or 53-arc in PG(31,64)), using
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
- Reed–Solomon code RS(32,64) [i]
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), 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(6432, 53, F64, 32) (dual of [53, 21, 33]-code or 53-arc in PG(31,64)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(4255, 318, F4, 131) (dual of [318, 63, 132]-code), using
- linear OA(4254, 318, F4, 129) (dual of [318, 64, 130]-code), using Gilbert–Varšamov bound and bm = 4254 > Vbs−1(k−1) = 503 939428 785458 031070 862236 100186 446405 239428 400219 159210 709212 206594 549860 959733 227451 489405 329291 485390 584169 706339 890671 721584 200619 608843 543644 117950 [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.