Information on Result #684360
Linear OA(522, 30, F5, 15) (dual of [30, 8, 16]-code), using construction X applied to C([1,71]) ⊂ C([1,51]) based on
- linear OA(520, 24, F5, 17) (dual of [24, 4, 18]-code), using contraction [i] based on linear OA(592, 96, F5, 71) (dual of [96, 4, 72]-code), using the narrow-sense BCH-code C(I) with length 96 | 58−1, defining interval I = [1,71], and designed minimum distance d ≥ |I|+1 = 72 [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 narrow-sense BCH-code C(I) with length 96 | 58−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
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 OOA(522, 15, F5, 2, 15) (dual of [(15, 2), 8, 16]-NRT-code) | [i] | OOA Folding | |