Information on Result #711567
Linear OA(5102, 653, F5, 30) (dual of [653, 551, 31]-code), using construction XX applied to C1 = C([129,156]), C2 = C([134,158]), C3 = C1 + C2 = C([134,156]), and C∩ = C1 ∩ C2 = C([129,158]) based on
- 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 = {129,130,…,156}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(581, 624, F5, 25) (dual of [624, 543, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {134,135,…,158}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(595, 624, F5, 30) (dual of [624, 529, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {129,130,…,158}, and designed minimum distance d ≥ |I|+1 = 31 [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(56, 20, F5, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(5102, 326, F5, 2, 30) (dual of [(326, 2), 550, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5102, 217, F5, 3, 30) (dual of [(217, 3), 549, 31]-NRT-code) | [i] | ||