Information on Result #1196938
Digital (85, 109, 32563)-net over F25, using net defined by OOA based on linear OOA(25109, 32563, F25, 26, 24) (dual of [(32563, 26), 846529, 25]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(25109, 195379, F25, 2, 24) (dual of [(195379, 2), 390649, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25109, 195380, F25, 2, 24) (dual of [(195380, 2), 390651, 25]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2516, 66, F25, 2, 12) (dual of [(66, 2), 116, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,119P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2593, 195314, F25, 2, 24) (dual of [(195314, 2), 390535, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2593, 390628, F25, 24) (dual of [390628, 390535, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2593, 390629, F25, 24) (dual of [390629, 390536, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(2593, 390625, F25, 24) (dual of [390625, 390532, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2589, 390625, F25, 23) (dual of [390625, 390536, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(2593, 390629, F25, 24) (dual of [390629, 390536, 25]-code), using
- OOA 2-folding [i] based on linear OA(2593, 390628, F25, 24) (dual of [390628, 390535, 25]-code), using
- linear OOA(2516, 66, F25, 2, 12) (dual of [(66, 2), 116, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(25109, 195380, F25, 2, 24) (dual of [(195380, 2), 390651, 25]-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.