Information on Result #688251
Linear OA(8140, 538, F8, 50) (dual of [538, 398, 51]-code), using construction X applied to Ce(49) ⊂ Ce(42) based on
- linear OA(8130, 512, F8, 50) (dual of [512, 382, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(8112, 512, F8, 43) (dual of [512, 400, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(810, 26, F8, 6) (dual of [26, 16, 7]-code), using
- construction X applied to AG(F,16P) ⊂ AG(F,18P) [i] based on
- linear OA(89, 23, F8, 6) (dual of [23, 14, 7]-code), using algebraic-geometric code AG(F,16P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(87, 23, F8, 4) (dual of [23, 16, 5]-code), using algebraic-geometric code AG(F,18P) [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(89, 23, F8, 6) (dual of [23, 14, 7]-code), using algebraic-geometric code AG(F,16P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- construction X applied to AG(F,16P) ⊂ AG(F,18P) [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.
Other Results with Identical Parameters
None.
Depending Results
None.