Information on Result #712323
Linear OA(5132, 645, F5, 41) (dual of [645, 513, 42]-code), using construction XX applied to C1 = C([123,161]), C2 = C([121,157]), C3 = C1 + C2 = C([123,157]), and C∩ = C1 ∩ C2 = C([121,161]) based on
- linear OA(5123, 624, F5, 39) (dual of [624, 501, 40]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {123,124,…,161}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(5115, 624, F5, 37) (dual of [624, 509, 38]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,157}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(5127, 624, F5, 41) (dual of [624, 497, 42]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,161}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5111, 624, F5, 35) (dual of [624, 513, 36]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {123,124,…,157}, and designed minimum distance d ≥ |I|+1 = 36 [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(5132, 322, F5, 2, 41) (dual of [(322, 2), 512, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5132, 215, F5, 3, 41) (dual of [(215, 3), 513, 42]-NRT-code) | [i] | ||