Information on Result #1301175
Linear OA(4258, 313, F4, 136) (dual of [313, 55, 137]-code), using construction X with Varšamov bound based on
- linear OA(4255, 309, F4, 136) (dual of [309, 54, 137]-code), using
- 3 times truncation [i] based on linear OA(4258, 312, F4, 139) (dual of [312, 54, 140]-code), using
- concatenation of two codes [i] based on
- linear OA(6434, 52, F64, 34) (dual of [52, 18, 35]-code or 52-arc in PG(33,64)), using
- discarding factors / shortening the dual code based on linear OA(6434, 64, F64, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
- Reed–Solomon code RS(30,64) [i]
- discarding factors / shortening the dual code based on linear OA(6434, 64, F64, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), 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(6434, 52, F64, 34) (dual of [52, 18, 35]-code or 52-arc in PG(33,64)), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(4258, 312, F4, 139) (dual of [312, 54, 140]-code), using
- linear OA(4255, 310, F4, 133) (dual of [310, 55, 134]-code), using Gilbert–Varšamov bound and bm = 4255 > Vbs−1(k−1) = 2260 024531 399692 714615 558386 709798 103183 140264 645730 290715 714897 764674 482826 074976 712131 680967 568119 177455 971964 356794 229842 230245 566846 390042 567451 212926 [i]
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [i]
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.