Information on Result #712159
Linear OA(5113, 634, F5, 36) (dual of [634, 521, 37]-code), using construction XX applied to C1 = C([128,161]), C2 = C([126,159]), C3 = C1 + C2 = C([128,159]), and C∩ = C1 ∩ C2 = C([126,161]) based on
- linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {128,129,…,161}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,159}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(5111, 624, F5, 36) (dual of [624, 513, 37]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,161}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(5103, 624, F5, 32) (dual of [624, 521, 33]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {128,129,…,159}, and designed minimum distance d ≥ |I|+1 = 33 [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(5113, 317, F5, 2, 36) (dual of [(317, 2), 521, 37]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5113, 211, F5, 3, 36) (dual of [(211, 3), 520, 37]-NRT-code) | [i] | ||