Information on Result #710022
Linear OA(575, 142, F5, 33) (dual of [142, 67, 34]-code), using construction XX applied to C1 = C([0,30]), C2 = C([8,32]), C3 = C1 + C2 = C([8,30]), and C∩ = C1 ∩ C2 = C([0,32]) based on
- 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(561, 124, F5, 25) (dual of [124, 63, 26]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {8,9,…,32}, and designed minimum distance d ≥ |I|+1 = 26 [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(557, 124, F5, 23) (dual of [124, 67, 24]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {8,9,…,30}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(59, 13, F5, 7) (dual of [13, 4, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 13 | 54−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 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(575, 71, F5, 2, 33) (dual of [(71, 2), 67, 34]-NRT-code) | [i] | OOA Folding | |