Information on Result #688923
Linear OA(865, 91, F8, 37) (dual of [91, 26, 38]-code), using construction XX applied to Ce(36) ⊂ Ce(26) ⊂ Ce(22) based on
- linear OA(849, 64, F8, 37) (dual of [64, 15, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(839, 64, F8, 27) (dual of [64, 25, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(837, 64, F8, 23) (dual of [64, 27, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(83, 4, F8, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,8) or 4-cap in PG(2,8)), using
- dual of repetition code with length 4 [i]
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.