Information on Result #737368
Linear OA(4259, 4170, F4, 52) (dual of [4170, 3911, 53]-code), using construction X applied to Ce(52) ⊂ Ce(40) based on
- linear OA(4235, 4096, F4, 53) (dual of [4096, 3861, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- 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(424, 74, F4, 10) (dual of [74, 50, 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 OA(4260, 4171, F4, 52) (dual of [4171, 3911, 53]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4259, 2085, F4, 2, 52) (dual of [(2085, 2), 3911, 53]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4259, 1390, F4, 3, 52) (dual of [(1390, 3), 3911, 53]-NRT-code) | [i] | ||