Information on Result #682309
Linear OA(5100, 390652, F5, 15) (dual of [390652, 390552, 16]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(573, 390625, F5, 12) (dual of [390625, 390552, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(5100, 298029, F5, 2, 15) (dual of [(298029, 2), 595958, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5100, 298029, F5, 3, 15) (dual of [(298029, 3), 893987, 16]-NRT-code) | [i] | ||
| 3 | Digital (85, 100, 298029)-net over F5 | [i] | ||
| 4 | Linear OOA(5100, 195326, F5, 2, 15) (dual of [(195326, 2), 390552, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5100, 130217, F5, 3, 15) (dual of [(130217, 3), 390551, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(5100, 55807, F5, 15, 15) (dual of [(55807, 15), 837005, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |