Information on Result #680506
Linear OA(4250, 1043, F4, 69) (dual of [1043, 793, 70]-code), using construction X applied to Ce(68) ⊂ Ce(61) 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(4231, 1024, F4, 62) (dual of [1024, 793, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(49, 19, F4, 6) (dual of [19, 10, 7]-code), using
- 1 times truncation [i] based on linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,4) [i]
- 1 times truncation [i] based on linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-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(4251, 1044, F4, 69) (dual of [1044, 793, 70]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4250, 521, F4, 2, 69) (dual of [(521, 2), 792, 70]-NRT-code) | [i] | OOA Folding | |