Information on Result #1323634
Linear OA(4199, 65598, F4, 31) (dual of [65598, 65399, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(414, 62, F4, 7) (dual of [62, 48, 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 OA(4200, 65599, F4, 31) (dual of [65599, 65399, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4201, 65601, F4, 31) (dual of [65601, 65400, 32]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(4202, 65603, F4, 31) (dual of [65603, 65401, 32]-code) | [i] | ||
| 4 | Linear OA(4203, 65605, F4, 31) (dual of [65605, 65402, 32]-code) | [i] | ||
| 5 | Linear OOA(4199, 32799, F4, 2, 31) (dual of [(32799, 2), 65399, 32]-NRT-code) | [i] | OOA Folding | |