Information on Result #678411
Linear OA(440, 262165, F4, 6) (dual of [262165, 262125, 7]-code), using construction X applied to Ce(5) ⊂ Ce(2) based on
- 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(419, 262144, F4, 3) (dual of [262144, 262125, 4]-code or 262144-cap in PG(18,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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 OOA(440, 262165, F4, 2, 6) (dual of [(262165, 2), 524290, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(440, 262165, F4, 3, 6) (dual of [(262165, 3), 786455, 7]-NRT-code) | [i] | ||
| 3 | Digital (34, 40, 262165)-net over F4 | [i] | ||
| 4 | Linear OOA(440, 131082, F4, 2, 6) (dual of [(131082, 2), 262124, 7]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(440, 87388, F4, 3, 6) (dual of [(87388, 3), 262124, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(440, 87388, F4, 6, 6) (dual of [(87388, 6), 524288, 7]-NRT-code) | [i] | OA Folding and Stacking | |