Information on Result #688878
Linear OA(874, 94, F8, 44) (dual of [94, 20, 45]-code), using construction X applied to Ce(44) ⊂ Ce(29) based on
- linear OA(855, 64, F8, 45) (dual of [64, 9, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(844, 64, F8, 30) (dual of [64, 20, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(819, 30, F8, 13) (dual of [30, 11, 14]-code), using
- construction X applied to AG(F,9P) ⊂ AG(F,13P) [i] based on
- linear OA(816, 23, F8, 13) (dual of [23, 7, 14]-code), using algebraic-geometric code AG(F,9P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(812, 23, F8, 9) (dual of [23, 11, 10]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(83, 7, F8, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,8) or 7-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
- linear OA(816, 23, F8, 13) (dual of [23, 7, 14]-code), using algebraic-geometric code AG(F,9P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- construction X applied to AG(F,9P) ⊂ AG(F,13P) [i] based on
Mode: Constructive and 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.