Information on Result #710206
Linear OA(5100, 162, F5, 44) (dual of [162, 62, 45]-code), using construction XX applied to C1 = C([118,31]), C2 = C([0,37]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([118,37]) 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(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(586, 124, F5, 44) (dual of [124, 38, 45]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,37}, and designed minimum distance d ≥ |I|+1 = 45 [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(57, 19, F5, 5) (dual of [19, 12, 6]-code) (see above)
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(5100, 81, F5, 2, 44) (dual of [(81, 2), 62, 45]-NRT-code) | [i] | OOA Folding | |