Information on Result #1197914
Digital (41, 57, 2473)-net over F27, using net defined by OOA based on linear OOA(2757, 2473, F27, 18, 16) (dual of [(2473, 18), 44457, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2757, 9893, F27, 2, 16) (dual of [(9893, 2), 19729, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2757, 9895, F27, 2, 16) (dual of [(9895, 2), 19733, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2711, 52, F27, 2, 8) (dual of [(52, 2), 93, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,95P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2746, 9843, F27, 2, 16) (dual of [(9843, 2), 19640, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2746, 19686, F27, 16) (dual of [19686, 19640, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- 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(2743, 19683, F27, 15) (dual of [19683, 19640, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(15) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(2746, 19686, F27, 16) (dual of [19686, 19640, 17]-code), using
- linear OOA(2711, 52, F27, 2, 8) (dual of [(52, 2), 93, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2757, 9895, F27, 2, 16) (dual of [(9895, 2), 19733, 17]-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.