Information on Result #711311
Linear OA(567, 634, F5, 21) (dual of [634, 567, 22]-code), using construction XX applied to C1 = C([143,161]), C2 = C([141,159]), C3 = C1 + C2 = C([143,159]), and C∩ = C1 ∩ C2 = C([141,161]) based on
- linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,161}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,159}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,161}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(557, 624, F5, 17) (dual of [624, 567, 18]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,159}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code) (see above)
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(567, 317, F5, 2, 21) (dual of [(317, 2), 567, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(567, 211, F5, 3, 21) (dual of [(211, 3), 566, 22]-NRT-code) | [i] | ||