Information on Result #734873
Linear OA(6491, 262277, F64, 25) (dual of [262277, 262186, 26]-code), using (u, u+v)-construction based on
- linear OA(6418, 130, F64, 12) (dual of [130, 112, 13]-code), using
- construction X applied to AG(F,114P) ⊂ AG(F,116P) [i] based on
- linear OA(6417, 127, F64, 12) (dual of [127, 110, 13]-code), using algebraic-geometric code AG(F,114P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OA(6415, 127, F64, 10) (dual of [127, 112, 11]-code), using algebraic-geometric code AG(F,116P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,114P) ⊂ AG(F,116P) [i] based on
- linear OA(6473, 262147, F64, 25) (dual of [262147, 262074, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(6473, 262144, F64, 25) (dual of [262144, 262071, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(23) [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.