Information on Result #679603
Linear OA(467, 4102, F4, 15) (dual of [4102, 4035, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) based on
- linear OA(467, 4096, F4, 15) (dual of [4096, 4029, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(461, 4096, F4, 14) (dual of [4096, 4035, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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 OA(473, 4133, F4, 15) (dual of [4133, 4060, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(474, 4162, F4, 15) (dual of [4162, 4088, 16]-code) | [i] | ||
| 3 | Linear OA(475, 4217, F4, 15) (dual of [4217, 4142, 16]-code) | [i] | ||
| 4 | Linear OA(476, 4317, F4, 15) (dual of [4317, 4241, 16]-code) | [i] | ||
| 5 | Linear OOA(467, 2051, F4, 2, 15) (dual of [(2051, 2), 4035, 16]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(467, 1367, F4, 3, 15) (dual of [(1367, 3), 4034, 16]-NRT-code) | [i] | ||