Information on Result #682422
Linear OA(5128, 78183, F5, 21) (dual of [78183, 78055, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,6]) based on
- linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(571, 78126, F5, 13) (dual of [78126, 78055, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(515, 57, F5, 7) (dual of [57, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(515, 62, F5, 7) (dual of [62, 47, 8]-code), 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 OA(5127, 78182, F5, 20) (dual of [78182, 78055, 21]-code) | [i] | Truncation | |
| 2 | Linear OOA(5128, 39091, F5, 2, 21) (dual of [(39091, 2), 78054, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5128, 26061, F5, 3, 21) (dual of [(26061, 3), 78055, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(5128, 7818, F5, 21, 21) (dual of [(7818, 21), 164050, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |