Information on Result #712425
Linear OA(5148, 633, F5, 47) (dual of [633, 485, 48]-code), using construction XX applied to C1 = C([111,156]), C2 = C([113,157]), C3 = C1 + C2 = C([113,156]), and C∩ = C1 ∩ C2 = C([111,157]) based on
- linear OA(5143, 624, F5, 46) (dual of [624, 481, 47]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {111,112,…,156}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(5143, 624, F5, 45) (dual of [624, 481, 46]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {113,114,…,157}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(5147, 624, F5, 47) (dual of [624, 477, 48]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {111,112,…,157}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(5139, 624, F5, 44) (dual of [624, 485, 45]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {113,114,…,156}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [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(5148, 316, F5, 2, 47) (dual of [(316, 2), 484, 48]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5148, 211, F5, 3, 47) (dual of [(211, 3), 485, 48]-NRT-code) | [i] | ||