Information on Result #870663
Linear OOA(3278, 533, F32, 2, 33) (dual of [(533, 2), 988, 34]-NRT-code), using OOA 2-folding based on linear OA(3278, 1066, F32, 33) (dual of [1066, 988, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3278, 1067, F32, 33) (dual of [1067, 989, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(17) [i] based on
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3235, 1024, F32, 18) (dual of [1024, 989, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3215, 43, F32, 14) (dual of [43, 28, 15]-code), using
- algebraic-geometric code AG(F,28P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- construction X applied to Ce(32) ⊂ Ce(17) [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.