Information on Result #709709
Linear OA(520, 24, F5, 17) (dual of [24, 4, 18]-code), using the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(520, 24, F5, 16) (dual of [24, 4, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5130, 648, F5, 35) (dual of [648, 518, 36]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(5127, 649, F5, 34) (dual of [649, 522, 35]-code) | [i] | ||
| 4 | Linear OA(591, 96, F5, 71) (dual of [96, 5, 72]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OA(552, 56, F5, 41) (dual of [56, 4, 42]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(529, 40, F5, 17) (dual of [40, 11, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OOA(520, 12, F5, 2, 17) (dual of [(12, 2), 4, 18]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(520, 8, F5, 3, 17) (dual of [(8, 3), 4, 18]-NRT-code) | [i] | ||