Information on Result #710304
Linear OA(5101, 148, F5, 48) (dual of [148, 47, 49]-code), using construction XX applied to C1 = C([118,38]), C2 = C([0,41]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([118,41]) based on
- linear OA(589, 124, F5, 45) (dual of [124, 35, 46]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,38}, and designed minimum distance d ≥ |I|+1 = 46 [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(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 = {−6,−5,…,41}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(577, 124, F5, 39) (dual of [124, 47, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(57, 19, F5, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [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(5101, 74, F5, 2, 48) (dual of [(74, 2), 47, 49]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5101, 49, F5, 3, 48) (dual of [(49, 3), 46, 49]-NRT-code) | [i] | ||