Information on Result #1198442
Digital (85, 109, 44297)-net over F27, using net defined by OOA based on linear OOA(27109, 44297, F27, 26, 24) (dual of [(44297, 26), 1151613, 25]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(27109, 265783, F27, 2, 24) (dual of [(265783, 2), 531457, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(27109, 265786, F27, 2, 24) (dual of [(265786, 2), 531463, 25]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2716, 64, F27, 2, 12) (dual of [(64, 2), 112, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,115P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- linear OOA(2793, 265722, F27, 2, 24) (dual of [(265722, 2), 531351, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2793, 531444, F27, 24) (dual of [531444, 531351, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2793, 531445, F27, 24) (dual of [531445, 531352, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(2793, 531441, F27, 24) (dual of [531441, 531348, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 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(2793, 531445, F27, 24) (dual of [531445, 531352, 25]-code), using
- OOA 2-folding [i] based on linear OA(2793, 531444, F27, 24) (dual of [531444, 531351, 25]-code), using
- linear OOA(2716, 64, F27, 2, 12) (dual of [(64, 2), 112, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(27109, 265786, F27, 2, 24) (dual of [(265786, 2), 531463, 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.