Information on Result #1198008
Digital (42, 59, 2472)-net over F27, using net defined by OOA based on linear OOA(2759, 2472, F27, 18, 17) (dual of [(2472, 18), 44437, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2759, 9889, F27, 2, 17) (dual of [(9889, 2), 19719, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2759, 9891, F27, 2, 17) (dual of [(9891, 2), 19723, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2710, 48, F27, 2, 8) (dual of [(48, 2), 86, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,87P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OOA(2749, 9843, F27, 2, 17) (dual of [(9843, 2), 19637, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2749, 19686, F27, 17) (dual of [19686, 19637, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(2749, 19683, F27, 17) (dual of [19683, 19634, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(16) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(2749, 19686, F27, 17) (dual of [19686, 19637, 18]-code), using
- linear OOA(2710, 48, F27, 2, 8) (dual of [(48, 2), 86, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2759, 9891, F27, 2, 17) (dual of [(9891, 2), 19723, 18]-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.