Information on Result #902419
Linear OOA(3265, 579, F32, 2, 25) (dual of [(579, 2), 1093, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3215, 64, F32, 2, 12) (dual of [(64, 2), 113, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,115P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OOA(3250, 515, F32, 2, 25) (dual of [(515, 2), 980, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3250, 1030, F32, 25) (dual of [1030, 980, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- linear OA(3249, 1025, F32, 25) (dual of [1025, 976, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3245, 1025, F32, 23) (dual of [1025, 980, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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([0,12]) ⊂ C([0,11]) [i] based on
- OOA 2-folding [i] based on linear OA(3250, 1030, F32, 25) (dual of [1030, 980, 26]-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.