Information on Result #684358
Linear OA(520, 24, F5, 17) (dual of [24, 4, 18]-code), using contraction 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]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [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(525, 33, F5, 17) (dual of [33, 8, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(522, 30, F5, 15) (dual of [30, 8, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(526, 35, F5, 17) (dual of [35, 9, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(527, 36, F5, 18) (dual of [36, 9, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(526, 34, F5, 18) (dual of [34, 8, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(523, 31, F5, 16) (dual of [31, 8, 17]-code) | [i] | ✔ | |
| 12 | Linear OOA(520, 12, F5, 2, 17) (dual of [(12, 2), 4, 18]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(520, 8, F5, 3, 17) (dual of [(8, 3), 4, 18]-NRT-code) | [i] | ||