Information on Result #711493
Linear OA(591, 642, F5, 28) (dual of [642, 551, 29]-code), using construction XX applied to C1 = C([130,156]), C2 = C([134,157]), C3 = C1 + C2 = C([134,156]), and C∩ = C1 ∩ C2 = C([130,157]) based on
- linear OA(583, 624, F5, 27) (dual of [624, 541, 28]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,156}, and designed minimum distance d ≥ |I|+1 = 28 [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(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(573, 624, F5, 23) (dual of [624, 551, 24]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {134,135,…,156}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), using
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(591, 321, F5, 2, 28) (dual of [(321, 2), 551, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(591, 214, F5, 3, 28) (dual of [(214, 3), 551, 29]-NRT-code) | [i] | ||