Information on Result #1198458
Digital (61, 86, 1646)-net over F27, using net defined by OOA based on linear OOA(2786, 1646, F27, 26, 25) (dual of [(1646, 26), 42710, 26]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(2786, 9877, F27, 2, 25) (dual of [(9877, 2), 19668, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2786, 9881, F27, 2, 25) (dual of [(9881, 2), 19676, 26]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2713, 38, F27, 2, 12) (dual of [(38, 2), 63, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,63P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2773, 9843, F27, 2, 25) (dual of [(9843, 2), 19613, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2773, 19686, F27, 25) (dual of [19686, 19613, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(2773, 19683, F27, 25) (dual of [19683, 19610, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 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(24) ⊂ Ce(23) [i] based on
- OOA 2-folding [i] based on linear OA(2773, 19686, F27, 25) (dual of [19686, 19613, 26]-code), using
- linear OOA(2713, 38, F27, 2, 12) (dual of [(38, 2), 63, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2786, 9881, F27, 2, 25) (dual of [(9881, 2), 19676, 26]-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.