Information on Result #711516
Linear OA(583, 634, F5, 26) (dual of [634, 551, 27]-code), using construction XX applied to C1 = C([138,161]), C2 = C([136,159]), C3 = C1 + C2 = C([138,159]), and C∩ = C1 ∩ C2 = C([136,161]) based on
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,161}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,159}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,161}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(573, 624, F5, 22) (dual of [624, 551, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,159}, and designed minimum distance d ≥ |I|+1 = 23 [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(583, 317, F5, 2, 26) (dual of [(317, 2), 551, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(583, 211, F5, 3, 26) (dual of [(211, 3), 550, 27]-NRT-code) | [i] | ||