Information on Result #1192860
Digital (121, 151, 2190)-net over F8, using net defined by OOA based on linear OOA(8151, 2190, F8, 33, 30) (dual of [(2190, 33), 72119, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8151, 10951, F8, 3, 30) (dual of [(10951, 3), 32702, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8151, 10952, F8, 3, 30) (dual of [(10952, 3), 32705, 31]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(820, 28, F8, 3, 15) (dual of [(28, 3), 64, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,68P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, 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(820, 28, F8, 3, 15) (dual of [(28, 3), 64, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8151, 10952, F8, 3, 30) (dual of [(10952, 3), 32705, 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.