Information on Result #710756
Linear OA(5136, 335, F5, 44) (dual of [335, 199, 45]-code), using construction XX applied to C1 = C([52,93]), C2 = C([56,95]), C3 = C1 + C2 = C([56,93]), and C∩ = C1 ∩ C2 = C([52,95]) based on
- linear OA(5123, 312, F5, 42) (dual of [312, 189, 43]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {52,53,…,93}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(5121, 312, F5, 40) (dual of [312, 191, 41]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {56,57,…,95}, and designed minimum distance d ≥ |I|+1 = 41 [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 = {52,53,…,95}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(5113, 312, F5, 38) (dual of [312, 199, 39]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {56,57,…,93}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), using
- 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
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(5136, 167, F5, 2, 44) (dual of [(167, 2), 198, 45]-NRT-code) | [i] | OOA Folding | |