Information on Result #710738
Linear OA(5137, 336, F5, 44) (dual of [336, 199, 45]-code), using construction XX applied to C1 = C([51,93]), C2 = C([56,94]), C3 = C1 + C2 = C([56,93]), and C∩ = C1 ∩ C2 = C([51,94]) based on
- 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 = {51,52,…,93}, and designed minimum distance d ≥ |I|+1 = 44 [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(5131, 312, F5, 44) (dual of [312, 181, 45]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {51,52,…,94}, 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(56, 20, F5, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), 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(5137, 168, F5, 2, 44) (dual of [(168, 2), 199, 45]-NRT-code) | [i] | OOA Folding | |