Information on Result #1196734
Digital (70, 90, 39073)-net over F25, using net defined by OOA based on linear OOA(2590, 39073, F25, 22, 20) (dual of [(39073, 22), 859516, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2590, 195366, F25, 2, 20) (dual of [(195366, 2), 390642, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2513, 52, F25, 2, 10) (dual of [(52, 2), 91, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,93P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2577, 195314, F25, 2, 20) (dual of [(195314, 2), 390551, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2577, 390628, F25, 20) (dual of [390628, 390551, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2577, 390629, F25, 20) (dual of [390629, 390552, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2573, 390625, F25, 19) (dual of [390625, 390552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(2577, 390629, F25, 20) (dual of [390629, 390552, 21]-code), using
- OOA 2-folding [i] based on linear OA(2577, 390628, F25, 20) (dual of [390628, 390551, 21]-code), using
- linear OOA(2513, 52, F25, 2, 10) (dual of [(52, 2), 91, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
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.