Information on Result #729495
Linear OA(4940, 157, F49, 23) (dual of [157, 117, 24]-code), using construction XX applied to C1 = C([15,36]), C2 = C([14,34]), C3 = C1 + C2 = C([15,34]), and C∩ = C1 ∩ C2 = C([14,36]) based on
- linear OA(4937, 150, F49, 22) (dual of [150, 113, 23]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {15,16,…,36}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4935, 150, F49, 21) (dual of [150, 115, 22]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {14,15,…,34}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4939, 150, F49, 23) (dual of [150, 111, 24]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {14,15,…,36}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(4933, 150, F49, 20) (dual of [150, 117, 21]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {15,16,…,34}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(491, 5, F49, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, 49, F49, 1) (dual of [49, 48, 2]-code), using
- Reed–Solomon code RS(48,49) [i]
- discarding factors / shortening the dual code based on linear OA(491, 49, F49, 1) (dual of [49, 48, 2]-code), using
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 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(4940, 78, F49, 2, 23) (dual of [(78, 2), 116, 24]-NRT-code) | [i] | OOA Folding | |