Information on Result #1323742
Linear OA(4176, 16440, F4, 31) (dual of [16440, 16264, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(414, 56, F4, 7) (dual of [56, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
Mode: 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(4176, 16440, F4, 2, 31) (dual of [(16440, 2), 32704, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4176, 16440, F4, 3, 31) (dual of [(16440, 3), 49144, 32]-NRT-code) | [i] | ||
| 3 | Digital (145, 176, 16440)-net over F4 | [i] | ||
| 4 | Linear OA(4177, 16442, F4, 31) (dual of [16442, 16265, 32]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(4178, 16444, F4, 31) (dual of [16444, 16266, 32]-code) | [i] | ||
| 6 | Linear OOA(4176, 8220, F4, 2, 31) (dual of [(8220, 2), 16264, 32]-NRT-code) | [i] | OOA Folding | |