Information on Result #710352
Linear OA(5100, 136, F5, 50) (dual of [136, 36, 51]-code), using construction XX applied to C1 = C([123,46]), C2 = C([1,48]), C3 = C1 + C2 = C([1,46]), and C∩ = C1 ∩ C2 = C([123,48]) based on
- linear OA(592, 124, F5, 48) (dual of [124, 32, 49]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−1,0,…,46}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(594, 124, F5, 48) (dual of [124, 30, 49]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(598, 124, F5, 50) (dual of [124, 26, 51]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−1,0,…,48}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(588, 124, F5, 46) (dual of [124, 36, 47]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [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
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(5100, 68, F5, 2, 50) (dual of [(68, 2), 36, 51]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5100, 45, F5, 3, 50) (dual of [(45, 3), 35, 51]-NRT-code) | [i] | ||