Information on Result #736656
Linear OA(526, 39, F5, 17) (dual of [39, 13, 18]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva
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(526, 39, F5, 16) (dual of [39, 13, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(527, 40, F5, 17) (dual of [40, 13, 18]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(525, 38, F5, 16) (dual of [38, 13, 17]-code) | [i] | Truncation | |
| 4 | Linear OA(524, 37, F5, 15) (dual of [37, 13, 16]-code) | [i] | ||
| 5 | Linear OA(523, 36, F5, 14) (dual of [36, 13, 15]-code) | [i] | ||
| 6 | Linear OA(531, 48, F5, 17) (dual of [48, 17, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(5143, 163, F5, 86) (dual of [163, 20, 87]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(531, 47, F5, 17) (dual of [47, 16, 18]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(526, 19, F5, 2, 17) (dual of [(19, 2), 12, 18]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(526, 13, F5, 3, 17) (dual of [(13, 3), 13, 18]-NRT-code) | [i] | ||