Information on Result #680500
Linear OA(4259, 1037, F4, 73) (dual of [1037, 778, 74]-code), using construction X applied to Ce(72) ⊂ Ce(69) based on
- linear OA(4256, 1024, F4, 73) (dual of [1024, 768, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(4246, 1024, F4, 70) (dual of [1024, 778, 71]-code), using an extension Ce(69) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,69], and designed minimum distance d ≥ |I|+1 = 70 [i]
- linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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 OOA(4259, 518, F4, 2, 73) (dual of [(518, 2), 777, 74]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4259, 345, F4, 3, 73) (dual of [(345, 3), 776, 74]-NRT-code) | [i] | ||