Information on Result #1424930
Linear OOA(4164, 712833, F4, 2, 20) (dual of [(712833, 2), 1425502, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4164, 712833, F4, 20) (dual of [712833, 712669, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4164, 1048640, F4, 20) (dual of [1048640, 1048476, 21]-code), using
- construction X applied to Ce(20) ⊂ Ce(12) [i] based on
- linear OA(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(413, 64, F4, 6) (dual of [64, 51, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- construction X applied to Ce(20) ⊂ Ce(12) [i] based on
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(4164, 356416, F4, 3, 20) (dual of [(356416, 3), 1069084, 21]-NRT-code) | [i] | OOA Folding | |