Information on Result #711020
Linear OA(554, 645, F5, 16) (dual of [645, 591, 17]-code), using construction XX applied to C1 = C([148,161]), C2 = C([146,157]), C3 = C1 + C2 = C([148,157]), and C∩ = C1 ∩ C2 = C([146,161]) based on
- linear OA(545, 624, F5, 14) (dual of [624, 579, 15]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {148,149,…,161}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(537, 624, F5, 12) (dual of [624, 587, 13]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {146,147,…,157}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(549, 624, F5, 16) (dual of [624, 575, 17]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {146,147,…,161}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(533, 624, F5, 10) (dual of [624, 591, 11]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {148,149,…,157}, and designed minimum distance d ≥ |I|+1 = 11 [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(554, 322, F5, 2, 16) (dual of [(322, 2), 590, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(554, 215, F5, 3, 16) (dual of [(215, 3), 591, 17]-NRT-code) | [i] | ||