Information on Result #612955
Linear OA(4193, 262158, F4, 27) (dual of [262158, 261965, 28]-code), using construction X applied to C([0,13]) ⊂ C([1,13]) based on
- linear OA(4181, 262145, F4, 27) (dual of [262145, 261964, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4180, 262145, F4, 14) (dual of [262145, 261965, 15]-code), using the narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [1,13], and minimum distance d ≥ |{−13,−11,−9,…,13}|+1 = 15 (BCH-bound) [i]
- linear OA(412, 13, F4, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,4)), using
- dual of repetition code with length 13 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4193, 142648, F4, 2, 27) (dual of [(142648, 2), 285103, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4193, 142648, F4, 3, 27) (dual of [(142648, 3), 427751, 28]-NRT-code) | [i] | ||
| 3 | Digital (166, 193, 142648)-net over F4 | [i] | ||