Information on Result #1187552
Digital (175, 202, 80661)-net over F4, using net defined by OOA based on linear OOA(4202, 80661, F4, 27, 27) (dual of [(80661, 27), 2177645, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4202, 1048594, F4, 27) (dual of [1048594, 1048392, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4202, 1048598, F4, 27) (dual of [1048598, 1048396, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(4201, 1048577, F4, 27) (dual of [1048577, 1048376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(41, 21, F4, 1) (dual of [21, 20, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4202, 1048598, F4, 27) (dual of [1048598, 1048396, 28]-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 (176, 203, 80661)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (177, 204, 80661)-net over F4 | [i] | ||
| 3 | Digital (178, 205, 80661)-net over F4 | [i] | ||
| 4 | Digital (193, 220, 80678)-net over F4 | [i] | (u, u+v)-Construction for Nets | |