Information on Result #709971
Linear OA(557, 142, F5, 22) (dual of [142, 85, 23]-code), using construction XX applied to C1 = C([11,30]), C2 = C([15,32]), C3 = C1 + C2 = C([15,30]), and C∩ = C1 ∩ C2 = C([11,32]) based on
- linear OA(548, 124, F5, 20) (dual of [124, 76, 21]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,30}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(543, 124, F5, 18) (dual of [124, 81, 19]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {15,16,…,32}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(552, 124, F5, 22) (dual of [124, 72, 23]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,32}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(539, 124, F5, 16) (dual of [124, 85, 17]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {15,16,…,30}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-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(557, 71, F5, 2, 22) (dual of [(71, 2), 85, 23]-NRT-code) | [i] | OOA Folding | |