Information on Result #710178
Linear OA(589, 148, F5, 41) (dual of [148, 59, 42]-code), using construction XX applied to C1 = C([119,31]), C2 = C([0,36]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([119,36]) based on
- linear OA(571, 124, F5, 37) (dual of [124, 53, 38]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,31}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(571, 124, F5, 37) (dual of [124, 53, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(580, 124, F5, 42) (dual of [124, 44, 43]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(562, 124, F5, 32) (dual of [124, 62, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [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(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,5)), 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(589, 74, F5, 2, 41) (dual of [(74, 2), 59, 42]-NRT-code) | [i] | OOA Folding | |