Information on Result #1197712
Digital (31, 44, 3293)-net over F27, using net defined by OOA based on linear OOA(2744, 3293, F27, 14, 13) (dual of [(3293, 14), 46058, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2744, 9880, F27, 2, 13) (dual of [(9880, 2), 19716, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2744, 9881, F27, 2, 13) (dual of [(9881, 2), 19718, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(277, 38, F27, 2, 6) (dual of [(38, 2), 69, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,69P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2737, 9843, F27, 2, 13) (dual of [(9843, 2), 19649, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2737, 19686, F27, 13) (dual of [19686, 19649, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2737, 19683, F27, 13) (dual of [19683, 19646, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2734, 19683, F27, 12) (dual of [19683, 19649, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(2737, 19686, F27, 13) (dual of [19686, 19649, 14]-code), using
- linear OOA(277, 38, F27, 2, 6) (dual of [(38, 2), 69, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2744, 9881, F27, 2, 13) (dual of [(9881, 2), 19718, 14]-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.