Information on Result #1197616
Digital (30, 42, 3296)-net over F27, using net defined by OOA based on linear OOA(2742, 3296, F27, 14, 12) (dual of [(3296, 14), 46102, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2742, 9889, F27, 2, 12) (dual of [(9889, 2), 19736, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2742, 9891, F27, 2, 12) (dual of [(9891, 2), 19740, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(278, 48, F27, 2, 6) (dual of [(48, 2), 88, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,89P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OOA(2734, 9843, F27, 2, 12) (dual of [(9843, 2), 19652, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2734, 19686, F27, 12) (dual of [19686, 19652, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- 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(2731, 19683, F27, 11) (dual of [19683, 19652, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(11) ⊂ Ce(10) [i] based on
- OOA 2-folding [i] based on linear OA(2734, 19686, F27, 12) (dual of [19686, 19652, 13]-code), using
- linear OOA(278, 48, F27, 2, 6) (dual of [(48, 2), 88, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2742, 9891, F27, 2, 12) (dual of [(9891, 2), 19740, 13]-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.