Information on Result #1198606
Digital (75, 104, 1418)-net over F27, using net defined by OOA based on linear OOA(27104, 1418, F27, 30, 29) (dual of [(1418, 30), 42436, 30]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(27104, 9927, F27, 2, 29) (dual of [(9927, 2), 19750, 30]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2722, 84, F27, 2, 14) (dual of [(84, 2), 146, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,153P) [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- linear OOA(2782, 9843, F27, 2, 29) (dual of [(9843, 2), 19604, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2782, 19686, F27, 29) (dual of [19686, 19604, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(28) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(2782, 19686, F27, 29) (dual of [19686, 19604, 30]-code), using
- linear OOA(2722, 84, F27, 2, 14) (dual of [(84, 2), 146, 15]-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.