Information on Result #1183430
Digital (66, 77, 11817)-net over F3, using net defined by OOA based on linear OOA(377, 11817, F3, 15, 11) (dual of [(11817, 15), 177178, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(377, 11818, F3, 5, 11) (dual of [(11818, 5), 59013, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(36, 7, F3, 5, 5) (dual of [(7, 5), 29, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(36, 7, F3, 4, 5) (dual of [(7, 4), 22, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,22P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- appending kth column [i] based on linear OOA(36, 7, F3, 4, 5) (dual of [(7, 4), 22, 6]-NRT-code), using
- linear OOA(371, 11811, F3, 5, 11) (dual of [(11811, 5), 58984, 12]-NRT-code), using
- OOA 5-folding [i] based on linear OA(371, 59055, F3, 11) (dual of [59055, 58984, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(371, 59059, F3, 11) (dual of [59059, 58988, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(371, 59049, F3, 11) (dual of [59049, 58978, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(361, 59049, F3, 10) (dual of [59049, 58988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 10, F3, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(371, 59059, F3, 11) (dual of [59059, 58988, 12]-code), using
- OOA 5-folding [i] based on linear OA(371, 59055, F3, 11) (dual of [59055, 58984, 12]-code), using
- linear OOA(36, 7, F3, 5, 5) (dual of [(7, 5), 29, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
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.