Information on Result #2261449
Linear OA(2248, 398, F2, 65) (dual of [398, 150, 66]-code), using 2 times code embedding in larger space based on linear OA(2246, 396, F2, 65) (dual of [396, 150, 66]-code), using
- concatenation of two codes [i] based on
- linear OA(3236, 66, F32, 32) (dual of [66, 30, 33]-code), using
- construction X applied to AG(F,30P) ⊂ AG(F,32P) [i] based on
- linear OA(3235, 63, F32, 32) (dual of [63, 28, 33]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3233, 63, F32, 30) (dual of [63, 30, 31]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,30P) ⊂ AG(F,32P) [i] based on
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(3236, 66, F32, 32) (dual of [66, 30, 33]-code), using
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.