Information on Result #681526
Linear OA(428, 267, F4, 9) (dual of [267, 239, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
- linear OA(425, 256, F4, 9) (dual of [256, 231, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(417, 256, F4, 6) (dual of [256, 239, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(43, 11, F4, 2) (dual of [11, 8, 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(428, 133, F4, 2, 9) (dual of [(133, 2), 238, 10]-NRT-code) | [i] | OOA Folding | |