Information on Result #696786
Linear OA(32104, 32815, F32, 31) (dual of [32815, 32711, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,9]) based on
- linear OA(3291, 32769, F32, 31) (dual of [32769, 32678, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3255, 32769, F32, 19) (dual of [32769, 32714, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3213, 46, F32, 11) (dual of [46, 33, 12]-code), using
- construction X applied to AG(F,31P) ⊂ AG(F,33P) [i] based on
- linear OA(3212, 43, F32, 11) (dual of [43, 31, 12]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3210, 43, F32, 9) (dual of [43, 33, 10]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (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,31P) ⊂ AG(F,33P) [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.