Information on Result #710864
Linear OA(538, 645, F5, 11) (dual of [645, 607, 12]-code), using construction XX applied to C1 = C([153,161]), C2 = C([151,157]), C3 = C1 + C2 = C([153,157]), and C∩ = C1 ∩ C2 = C([151,161]) based on
- linear OA(529, 624, F5, 9) (dual of [624, 595, 10]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {153,154,…,161}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(521, 624, F5, 7) (dual of [624, 603, 8]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {151,152,…,157}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(533, 624, F5, 11) (dual of [624, 591, 12]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {151,152,…,161}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(517, 624, F5, 5) (dual of [624, 607, 6]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {153,154,155,156,157}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
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(538, 322, F5, 2, 11) (dual of [(322, 2), 606, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(538, 215, F5, 3, 11) (dual of [(215, 3), 607, 12]-NRT-code) | [i] | ||