Information on Result #678407
Linear OA(458, 262165, F4, 9) (dual of [262165, 262107, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
- linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(437, 262144, F4, 6) (dual of [262144, 262107, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
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(459, 262166, F4, 9) (dual of [262166, 262107, 10]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(458, 131082, F4, 2, 9) (dual of [(131082, 2), 262106, 10]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(458, 87388, F4, 3, 9) (dual of [(87388, 3), 262106, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(458, 65541, F4, 9, 9) (dual of [(65541, 9), 589811, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |