Information on Result #710317
Linear OA(598, 142, F5, 48) (dual of [142, 44, 49]-code), using construction XX applied to C1 = C([119,41]), C2 = C([0,42]), C3 = C1 + C2 = C([0,41]), and C∩ = C1 ∩ C2 = C([119,42]) 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(583, 124, F5, 43) (dual of [124, 41, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [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 = {−5,−4,…,42}, and designed minimum distance d ≥ |I|+1 = 49 [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(56, 15, F5, 4) (dual of [15, 9, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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(598, 71, F5, 2, 48) (dual of [(71, 2), 44, 49]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(598, 47, F5, 3, 48) (dual of [(47, 3), 43, 49]-NRT-code) | [i] | ||