Information on Result #899948
Linear OOA(2583, 7882, F25, 2, 23) (dual of [(7882, 2), 15681, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2515, 66, F25, 2, 11) (dual of [(66, 2), 117, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,120P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2568, 7816, F25, 2, 23) (dual of [(7816, 2), 15564, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2568, 15632, F25, 23) (dual of [15632, 15564, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2568, 15633, F25, 23) (dual of [15633, 15565, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(2567, 15626, F25, 23) (dual of [15626, 15559, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2561, 15626, F25, 21) (dual of [15626, 15565, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2568, 15633, F25, 23) (dual of [15633, 15565, 24]-code), using
- OOA 2-folding [i] based on linear OA(2568, 15632, F25, 23) (dual of [15632, 15564, 24]-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.