Information on Result #684348
Linear OA(520, 28, F5, 14) (dual of [28, 8, 15]-code), using construction X applied to C([0,55]) ⊂ C([0,47]) based on
- linear OA(519, 24, F5, 14) (dual of [24, 5, 15]-code), using contraction [i] based on linear OA(591, 96, F5, 59) (dual of [96, 5, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 58−1, defining interval I = [0,55], and minimum distance d ≥ |{−3,−2,…,55}|+1 = 60 (BCH-bound) [i]
- linear OA(516, 24, F5, 12) (dual of [24, 8, 13]-code), using contraction [i] based on linear OA(588, 96, F5, 51) (dual of [96, 8, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 58−1, defining interval I = [0,47], and minimum distance d ≥ |{−3,−2,…,47}|+1 = 52 (BCH-bound) [i]
- linear OA(51, 4, F5, 1) (dual of [4, 3, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5136, 3152, F5, 29) (dual of [3152, 3016, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5131, 3152, F5, 28) (dual of [3152, 3021, 29]-code) | [i] | ||
| 3 | Linear OOA(520, 14, F5, 2, 14) (dual of [(14, 2), 8, 15]-NRT-code) | [i] | OOA Folding | |