Information on Result #679861
Linear OA(4207, 4170, F4, 41) (dual of [4170, 3963, 42]-code), using construction X applied to Ce(40) ⊂ Ce(29) based on
- linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4133, 4096, F4, 30) (dual of [4096, 3963, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(426, 74, F4, 10) (dual of [74, 48, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(426, 85, F4, 10) (dual of [85, 59, 11]-code), 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 OOA(4207, 1390, F4, 3, 41) (dual of [(1390, 3), 3963, 42]-NRT-code) | [i] | OOA Folding | |