Information on Result #710085
Linear OA(588, 150, F5, 40) (dual of [150, 62, 41]-code), using construction XX applied to C1 = C([118,31]), C2 = C([0,33]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([118,33]) based on
- linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,31}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(568, 124, F5, 34) (dual of [124, 56, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(580, 124, F5, 40) (dual of [124, 44, 41]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,33}, and designed minimum distance d ≥ |I|+1 = 41 [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(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(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(588, 75, F5, 2, 40) (dual of [(75, 2), 62, 41]-NRT-code) | [i] | OOA Folding | |