Information on Result #711760
Linear OA(5107, 654, F5, 32) (dual of [654, 547, 33]-code), using construction XX applied to C1 = C([134,161]), C2 = C([130,157]), C3 = C1 + C2 = C([134,157]), and C∩ = C1 ∩ C2 = C([130,161]) based on
- linear OA(589, 624, F5, 28) (dual of [624, 535, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {134,135,…,161}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(587, 624, F5, 28) (dual of [624, 537, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,157}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(599, 624, F5, 32) (dual of [624, 525, 33]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,161}, and designed minimum distance d ≥ |I|+1 = 33 [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 = {134,135,…,157}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), using
- discarding factors / shortening the dual code based on linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)) (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(5107, 327, F5, 2, 32) (dual of [(327, 2), 547, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5107, 218, F5, 3, 32) (dual of [(218, 3), 547, 33]-NRT-code) | [i] | ||