Information on Result #682299
Linear OA(5132, 390652, F5, 20) (dual of [390652, 390520, 21]-code), using construction X applied to Ce(20) ⊂ Ce(16) based on
- linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(5105, 390625, F5, 17) (dual of [390625, 390520, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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 OOA(5132, 230672, F5, 2, 20) (dual of [(230672, 2), 461212, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5132, 230672, F5, 3, 20) (dual of [(230672, 3), 691884, 21]-NRT-code) | [i] | ||
| 3 | Digital (112, 132, 230672)-net over F5 | [i] | ||
| 4 | Linear OOA(5132, 195326, F5, 2, 20) (dual of [(195326, 2), 390520, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5132, 130217, F5, 3, 20) (dual of [(130217, 3), 390519, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(5132, 39065, F5, 20, 20) (dual of [(39065, 20), 781168, 21]-NRT-code) | [i] | OA Folding and Stacking | |