Information on Result #1186386
Digital (67, 81, 9363)-net over F4, using net defined by OOA based on linear OOA(481, 9363, F4, 14, 14) (dual of [(9363, 14), 131001, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(481, 65541, F4, 14) (dual of [65541, 65460, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(481, 65544, F4, 14) (dual of [65544, 65463, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(481, 65536, F4, 14) (dual of [65536, 65455, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(481, 65544, F4, 14) (dual of [65544, 65463, 15]-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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Digital (68, 82, 9363)-net over F4 | [i] | Net Duplication | |
2 | Digital (69, 83, 9363)-net over F4 | [i] | ||
3 | Digital (74, 88, 9368)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
4 | Digital (75, 89, 9372)-net over F4 | [i] | ||
5 | Digital (76, 90, 9373)-net over F4 | [i] |