Information on Result #680717
Linear OA(4256, 1064, F4, 66) (dual of [1064, 808, 67]-code), using construction X applied to Ce(68) ⊂ Ce(57) based on
- linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(4216, 1024, F4, 58) (dual of [1024, 808, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(415, 40, F4, 7) (dual of [40, 25, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,4) [i]
- linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), using
- (u, u+v)-construction [i] based on
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(4257, 1065, F4, 66) (dual of [1065, 808, 67]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4256, 532, F4, 2, 66) (dual of [(532, 2), 808, 67]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4256, 354, F4, 3, 66) (dual of [(354, 3), 806, 67]-NRT-code) | [i] | ||