Information on Result #710327
Linear OA(5101, 142, F5, 49) (dual of [142, 41, 50]-code), using construction XX applied to C1 = C([119,41]), C2 = C([0,43]), C3 = C1 + C2 = C([0,41]), and C∩ = C1 ∩ C2 = C([119,43]) based on
- linear OA(589, 124, F5, 47) (dual of [124, 35, 48]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,41}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(586, 124, F5, 44) (dual of [124, 38, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(595, 124, F5, 49) (dual of [124, 29, 50]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,43}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(580, 124, F5, 42) (dual of [124, 44, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(55, 11, F5, 4) (dual of [11, 6, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-code), 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(5101, 71, F5, 2, 49) (dual of [(71, 2), 41, 50]-NRT-code) | [i] | OOA Folding | |