Information on Result #612912
Linear OA(4139, 16398, F4, 25) (dual of [16398, 16259, 26]-code), using construction X applied to C([0,12]) ⊂ C([1,12]) based on
- 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(4126, 16385, F4, 12) (dual of [16385, 16259, 13]-code), using the narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(4139, 12855, F4, 2, 25) (dual of [(12855, 2), 25571, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4139, 12855, F4, 3, 25) (dual of [(12855, 3), 38426, 26]-NRT-code) | [i] | ||
| 3 | Digital (114, 139, 12855)-net over F4 | [i] | ||