Information on Result #709916
Linear OA(539, 132, F5, 16) (dual of [132, 93, 17]-code), using construction XX applied to C1 = C([23,36]), C2 = C([21,34]), C3 = C1 + C2 = C([23,34]), and C∩ = C1 ∩ C2 = C([21,36]) based on
- linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {23,24,…,36}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,34}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(537, 124, F5, 16) (dual of [124, 87, 17]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,36}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(531, 124, F5, 12) (dual of [124, 93, 13]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {23,24,…,34}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
- discarding factors / shortening the dual code based on linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code) (see above)
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 OA(540, 135, F5, 16) (dual of [135, 95, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(539, 66, F5, 2, 16) (dual of [(66, 2), 93, 17]-NRT-code) | [i] | OOA Folding | |