Information on Result #688890
Linear OA(859, 90, F8, 31) (dual of [90, 31, 32]-code), using construction X applied to Ce(30) ⊂ Ce(20) based on
- linear OA(846, 64, F8, 31) (dual of [64, 18, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(833, 64, F8, 21) (dual of [64, 31, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(813, 26, F8, 9) (dual of [26, 13, 10]-code), using
- construction X applied to AG(F,13P) ⊂ AG(F,15P) [i] based on
- 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, using
- the Klein quartic over F8 [i]
- linear OA(810, 23, F8, 7) (dual of [23, 13, 8]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- 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, using
- construction X applied to AG(F,13P) ⊂ AG(F,15P) [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.