Information on Result #710059
Linear OA(573, 136, F5, 35) (dual of [136, 63, 36]-code), using construction XX applied to C1 = C([122,30]), C2 = C([0,32]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([122,32]) based on
- linear OA(567, 124, F5, 33) (dual of [124, 57, 34]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−2,−1,…,30}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(565, 124, F5, 33) (dual of [124, 59, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [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 = {−2,−1,…,32}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(561, 124, F5, 31) (dual of [124, 63, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- 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
- 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(573, 68, F5, 2, 35) (dual of [(68, 2), 63, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(573, 45, F5, 3, 35) (dual of [(45, 3), 62, 36]-NRT-code) | [i] | ||