Information on Result #902206
Linear OOA(3248, 559, F32, 2, 19) (dual of [(559, 2), 1070, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3210, 44, F32, 2, 9) (dual of [(44, 2), 78, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,78P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3238, 515, F32, 2, 19) (dual of [(515, 2), 992, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3238, 1030, F32, 19) (dual of [1030, 992, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(3237, 1025, F32, 19) (dual of [1025, 988, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3233, 1025, F32, 17) (dual of [1025, 992, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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([0,9]) ⊂ C([0,8]) [i] based on
- OOA 2-folding [i] based on linear OA(3238, 1030, F32, 19) (dual of [1030, 992, 20]-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.