Information on Result #680509
Linear OA(4245, 1038, F4, 66) (dual of [1038, 793, 67]-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(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), 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(4244, 1037, F4, 65) (dual of [1037, 793, 66]-code) | [i] | Truncation | |
| 2 | Linear OOA(4245, 519, F4, 2, 66) (dual of [(519, 2), 793, 67]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4245, 346, F4, 3, 66) (dual of [(346, 3), 793, 67]-NRT-code) | [i] | ||