Information on Result #1187516
Digital (115, 142, 1261)-net over F4, using net defined by OOA based on linear OOA(4142, 1261, F4, 27, 27) (dual of [(1261, 27), 33905, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4142, 16394, F4, 27) (dual of [16394, 16252, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4142, 16400, F4, 27) (dual of [16400, 16258, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(4141, 16385, F4, 27) (dual of [16385, 16244, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4127, 16385, F4, 25) (dual of [16385, 16258, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(41, 15, F4, 1) (dual of [15, 14, 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(4142, 16400, F4, 27) (dual of [16400, 16258, 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 (116, 143, 1261)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (117, 144, 1261)-net over F4 | [i] | ||
| 3 | Digital (118, 145, 1261)-net over F4 | [i] | ||