Information on Result #710737
Linear OA(5131, 330, F5, 43) (dual of [330, 199, 44]-code), using construction XX applied to C1 = C([52,93]), C2 = C([56,94]), C3 = C1 + C2 = C([56,93]), and C∩ = C1 ∩ C2 = C([52,94]) 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(5117, 312, F5, 39) (dual of [312, 195, 40]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {56,57,…,94}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(5127, 312, F5, 43) (dual of [312, 185, 44]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {52,53,…,94}, and designed minimum distance d ≥ |I|+1 = 44 [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(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(5131, 165, F5, 2, 43) (dual of [(165, 2), 199, 44]-NRT-code) | [i] | OOA Folding | |