Information on Result #1318054
Linear OA(8102, 116, F8, 72) (dual of [116, 14, 73]-code), using construction X with Varšamov bound based on
- linear OA(897, 109, F8, 72) (dual of [109, 12, 73]-code), using
- discarding factors / shortening the dual code based on linear OA(897, 111, F8, 72) (dual of [111, 14, 73]-code), using
- 6 times truncation [i] based on linear OA(8103, 117, F8, 78) (dual of [117, 14, 79]-code), using
- a “GraCyc†code from Grassl’s database [i]
- 6 times truncation [i] based on linear OA(8103, 117, F8, 78) (dual of [117, 14, 79]-code), using
- discarding factors / shortening the dual code based on linear OA(897, 111, F8, 72) (dual of [111, 14, 73]-code), using
- linear OA(897, 111, F8, 68) (dual of [111, 14, 69]-code), using Gilbert–Varšamov bound and bm = 897 > Vbs−1(k−1) = 3843 562118 907667 238046 768685 866923 421747 456560 926657 249965 108569 499518 127813 745837 228382 [i]
- linear OA(83, 5, F8, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.