Information on Result #1192796
Digital (116, 144, 2347)-net over F8, using net defined by OOA based on linear OOA(8144, 2347, F8, 30, 28) (dual of [(2347, 30), 70266, 29]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(8144, 16430, F8, 2, 28) (dual of [(16430, 2), 32716, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8144, 16431, F8, 2, 28) (dual of [(16431, 2), 32718, 29]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(823, 45, F8, 2, 14) (dual of [(45, 2), 67, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,75P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- linear OOA(8121, 16386, F8, 2, 28) (dual of [(16386, 2), 32651, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8121, 32772, F8, 28) (dual of [32772, 32651, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8121, 32773, F8, 28) (dual of [32773, 32652, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(8121, 32768, F8, 28) (dual of [32768, 32647, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(8121, 32773, F8, 28) (dual of [32773, 32652, 29]-code), using
- OOA 2-folding [i] based on linear OA(8121, 32772, F8, 28) (dual of [32772, 32651, 29]-code), using
- linear OOA(823, 45, F8, 2, 14) (dual of [(45, 2), 67, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8144, 16431, F8, 2, 28) (dual of [(16431, 2), 32718, 29]-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.