Information on Result #712419
Linear OA(5145, 634, F5, 46) (dual of [634, 489, 47]-code), using construction XX applied to C1 = C([118,161]), C2 = C([116,159]), C3 = C1 + C2 = C([118,159]), and C∩ = C1 ∩ C2 = C([116,161]) based on
- linear OA(5139, 624, F5, 44) (dual of [624, 485, 45]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {118,119,…,161}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(5139, 624, F5, 44) (dual of [624, 485, 45]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,159}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(5143, 624, F5, 46) (dual of [624, 481, 47]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,161}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(5135, 624, F5, 42) (dual of [624, 489, 43]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {118,119,…,159}, and designed minimum distance d ≥ |I|+1 = 43 [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(5145, 317, F5, 2, 46) (dual of [(317, 2), 489, 47]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5145, 211, F5, 3, 46) (dual of [(211, 3), 488, 47]-NRT-code) | [i] | ||