Information on Result #737428
Linear OA(4250, 1045, F4, 68) (dual of [1045, 795, 69]-code), using construction XX applied to Ce(68) ⊂ Ce(61) ⊂ Ce(60) 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(4226, 1024, F4, 61) (dual of [1024, 798, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(47, 19, F4, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 20, F4, 5) (dual of [20, 13, 6]-code), using
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(4250, 522, F4, 2, 68) (dual of [(522, 2), 794, 69]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4250, 348, F4, 3, 68) (dual of [(348, 3), 794, 69]-NRT-code) | [i] | ||