Information on Result #737572
Linear OA(5130, 15664, F5, 25) (dual of [15664, 15534, 26]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(591, 15625, F5, 19) (dual of [15625, 15534, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(59, 39, F5, 5) (dual of [39, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-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(5130, 15664, F5, 2, 25) (dual of [(15664, 2), 31198, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5130, 15664, F5, 3, 25) (dual of [(15664, 3), 46862, 26]-NRT-code) | [i] | ||
| 3 | Digital (105, 130, 15664)-net over F5 | [i] | ||
| 4 | Linear OOA(5130, 7832, F5, 2, 25) (dual of [(7832, 2), 15534, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5130, 5221, F5, 3, 25) (dual of [(5221, 3), 15533, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(5130, 1305, F5, 25, 25) (dual of [(1305, 25), 32495, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |