Information on Result #710788
Linear OA(5137, 322, F5, 46) (dual of [322, 185, 47]-code), using construction XX applied to C1 = C([50,93]), C2 = C([48,91]), C3 = C1 + C2 = C([50,91]), and C∩ = C1 ∩ C2 = C([48,93]) based on
- linear OA(5131, 312, F5, 44) (dual of [312, 181, 45]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {50,51,…,93}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(5131, 312, F5, 44) (dual of [312, 181, 45]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {48,49,…,91}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(5135, 312, F5, 46) (dual of [312, 177, 47]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {48,49,…,93}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(5127, 312, F5, 42) (dual of [312, 185, 43]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {50,51,…,91}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-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(5137, 161, F5, 2, 46) (dual of [(161, 2), 185, 47]-NRT-code) | [i] | OOA Folding | |