Information on Result #1203392
Digital (31, 43, 349654)-net over F128, using net defined by OOA based on linear OOA(12843, 349654, F128, 15, 12) (dual of [(349654, 15), 5244767, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12843, 699309, F128, 3, 12) (dual of [(699309, 3), 2097884, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1289, 258, F128, 3, 6) (dual of [(258, 3), 765, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;384,128) [i]
- linear OOA(1286, 129, F128, 3, 6) (dual of [(129, 3), 381, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;381,128) [i]
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12834, 699051, F128, 3, 12) (dual of [(699051, 3), 2097119, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12834, 2097153, F128, 12) (dual of [2097153, 2097119, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(12834, 2097155, F128, 12) (dual of [2097155, 2097121, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12831, 2097152, F128, 11) (dual of [2097152, 2097121, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(12834, 2097155, F128, 12) (dual of [2097155, 2097121, 13]-code), using
- OOA 3-folding [i] based on linear OA(12834, 2097153, F128, 12) (dual of [2097153, 2097119, 13]-code), using
- linear OOA(1289, 258, F128, 3, 6) (dual of [(258, 3), 765, 7]-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.