Information on Result #902592
Linear OOA(3278, 559, F32, 2, 31) (dual of [(559, 2), 1040, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3216, 44, F32, 2, 15) (dual of [(44, 2), 72, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,72P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3262, 515, F32, 2, 31) (dual of [(515, 2), 968, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3262, 1030, F32, 31) (dual of [1030, 968, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- linear OA(3261, 1025, F32, 31) (dual of [1025, 964, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3257, 1025, F32, 29) (dual of [1025, 968, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 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 C([0,15]) ⊂ C([0,14]) [i] based on
- OOA 2-folding [i] based on linear OA(3262, 1030, F32, 31) (dual of [1030, 968, 32]-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.