Information on Result #1196770
Digital (55, 76, 1576)-net over F25, using net defined by OOA based on linear OOA(2576, 1576, F25, 22, 21) (dual of [(1576, 22), 34596, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2576, 7881, F25, 2, 21) (dual of [(7881, 2), 15686, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2576, 7882, F25, 2, 21) (dual of [(7882, 2), 15688, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2514, 66, F25, 2, 10) (dual of [(66, 2), 118, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,121P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2562, 7816, F25, 2, 21) (dual of [(7816, 2), 15570, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2562, 15632, F25, 21) (dual of [15632, 15570, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2562, 15633, F25, 21) (dual of [15633, 15571, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- 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(2555, 15626, F25, 19) (dual of [15626, 15571, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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([0,10]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2562, 15633, F25, 21) (dual of [15633, 15571, 22]-code), using
- OOA 2-folding [i] based on linear OA(2562, 15632, F25, 21) (dual of [15632, 15570, 22]-code), using
- linear OOA(2514, 66, F25, 2, 10) (dual of [(66, 2), 118, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2576, 7882, F25, 2, 21) (dual of [(7882, 2), 15688, 22]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.