Information on Result #710114
Linear OA(582, 141, F5, 39) (dual of [141, 59, 40]-code), using construction XX applied to C1 = C([31,67]), C2 = C([29,63]), C3 = C1 + C2 = C([31,63]), and C∩ = C1 ∩ C2 = C([29,67]) based on
- linear OA(571, 124, F5, 37) (dual of [124, 53, 38]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {31,32,…,67}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(571, 124, F5, 35) (dual of [124, 53, 36]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,63}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(577, 124, F5, 39) (dual of [124, 47, 40]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,67}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(565, 124, F5, 33) (dual of [124, 59, 34]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {31,32,…,63}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(54, 10, F5, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,5)), using
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(582, 70, F5, 2, 39) (dual of [(70, 2), 58, 40]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(582, 47, F5, 3, 39) (dual of [(47, 3), 59, 40]-NRT-code) | [i] | ||