Information on Result #613089
Linear OA(4251, 262162, F4, 35) (dual of [262162, 261911, 36]-code), using construction X applied to C([0,17]) ⊂ C([1,17]) based on
- linear OA(4235, 262145, F4, 35) (dual of [262145, 261910, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4234, 262145, F4, 18) (dual of [262145, 261911, 19]-code), using the narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [1,17], and minimum distance d ≥ |{−17,−15,−13,…,17}|+1 = 19 (BCH-bound) [i]
- linear OA(416, 17, F4, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,4)), using
- dual of repetition code with length 17 [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(4251, 159669, F4, 2, 35) (dual of [(159669, 2), 319087, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4251, 159669, F4, 3, 35) (dual of [(159669, 3), 478756, 36]-NRT-code) | [i] | ||
| 3 | Digital (216, 251, 159669)-net over F4 | [i] | ||