Information on Result #682310
Linear OA(592, 390652, F5, 14) (dual of [390652, 390560, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
- linear OA(589, 390625, F5, 14) (dual of [390625, 390536, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(565, 390625, F5, 11) (dual of [390625, 390560, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(53, 27, F5, 2) (dual of [27, 24, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(53, 31, F5, 2) (dual of [31, 28, 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 OA(593, 390653, F5, 14) (dual of [390653, 390560, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(592, 264126, F5, 2, 14) (dual of [(264126, 2), 528160, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(592, 264126, F5, 3, 14) (dual of [(264126, 3), 792286, 15]-NRT-code) | [i] | ||
| 4 | Digital (78, 92, 264126)-net over F5 | [i] | ||
| 5 | Linear OOA(592, 195326, F5, 2, 14) (dual of [(195326, 2), 390560, 15]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(592, 130217, F5, 3, 14) (dual of [(130217, 3), 390559, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(592, 55807, F5, 14, 14) (dual of [(55807, 14), 781206, 15]-NRT-code) | [i] | OA Folding and Stacking | |