Information on Result #710798
Linear OA(5145, 326, F5, 48) (dual of [326, 181, 49]-code), using construction XX applied to C1 = C([310,43]), C2 = C([0,45]), C3 = C1 + C2 = C([0,43]), and C∩ = C1 ∩ C2 = C([310,45]) based on
- linear OA(5139, 312, F5, 46) (dual of [312, 173, 47]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {−2,−1,…,43}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(5135, 312, F5, 46) (dual of [312, 177, 47]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(5143, 312, F5, 48) (dual of [312, 169, 49]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {−2,−1,…,45}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(5131, 312, F5, 44) (dual of [312, 181, 45]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 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
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
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(5145, 163, F5, 2, 48) (dual of [(163, 2), 181, 49]-NRT-code) | [i] | OOA Folding | |