Information on Result #712359
Linear OA(5133, 634, F5, 42) (dual of [634, 501, 43]-code), using construction XX applied to C1 = C([116,156]), C2 = C([119,157]), C3 = C1 + C2 = C([119,156]), and C∩ = C1 ∩ C2 = C([116,157]) based on
- linear OA(5127, 624, F5, 41) (dual of [624, 497, 42]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,156}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5123, 624, F5, 39) (dual of [624, 501, 40]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {119,120,…,157}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(5131, 624, F5, 42) (dual of [624, 493, 43]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,157}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(5119, 624, F5, 38) (dual of [624, 505, 39]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {119,120,…,156}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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(5133, 317, F5, 2, 42) (dual of [(317, 2), 501, 43]-NRT-code) | [i] | OOA Folding | |