Information on Result #972829
Linear OOA(5108, 5222, F5, 3, 21) (dual of [(5222, 3), 15558, 22]-NRT-code), using OOA 3-folding based on linear OA(5108, 15666, F5, 21) (dual of [15666, 15558, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(13) [i] based on
- linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(511, 41, F5, 6) (dual of [41, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-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(5109, 5222, F5, 3, 21) (dual of [(5222, 3), 15557, 22]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5107, 5221, F5, 3, 20) (dual of [(5221, 3), 15556, 21]-NRT-code) | [i] | Truncation for OOAs | |