Information on Result #1192862
Digital (123, 153, 2191)-net over F8, using net defined by OOA based on linear OOA(8153, 2191, F8, 33, 30) (dual of [(2191, 33), 72150, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8153, 10956, F8, 3, 30) (dual of [(10956, 3), 32715, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8153, 10958, F8, 3, 30) (dual of [(10958, 3), 32721, 31]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(822, 34, F8, 3, 15) (dual of [(34, 3), 80, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,86P) [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- linear OOA(8131, 10924, F8, 3, 30) (dual of [(10924, 3), 32641, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8131, 32772, F8, 30) (dual of [32772, 32641, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(8131, 32773, F8, 30) (dual of [32773, 32642, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8126, 32768, F8, 29) (dual of [32768, 32642, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(29) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(8131, 32773, F8, 30) (dual of [32773, 32642, 31]-code), using
- OOA 3-folding [i] based on linear OA(8131, 32772, F8, 30) (dual of [32772, 32641, 31]-code), using
- linear OOA(822, 34, F8, 3, 15) (dual of [(34, 3), 80, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8153, 10958, F8, 3, 30) (dual of [(10958, 3), 32721, 31]-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.