Information on Result #736649
Linear OA(533, 48, F5, 20) (dual of [48, 15, 21]-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(533, 48, F5, 19) (dual of [48, 15, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(533, 48, F5, 18) (dual of [48, 15, 19]-code) | [i] | ||
| 3 | Linear OA(534, 49, F5, 20) (dual of [49, 15, 21]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(535, 50, F5, 20) (dual of [50, 15, 21]-code) | [i] | ||
| 5 | Linear OA(536, 51, F5, 20) (dual of [51, 15, 21]-code) | [i] | ||
| 6 | Linear OA(532, 47, F5, 19) (dual of [47, 15, 20]-code) | [i] | Truncation | |
| 7 | Linear OA(531, 46, F5, 18) (dual of [46, 15, 19]-code) | [i] | ||
| 8 | Linear OA(530, 45, F5, 17) (dual of [45, 15, 18]-code) | [i] | ||
| 9 | Linear OA(529, 44, F5, 16) (dual of [44, 15, 17]-code) | [i] | ||
| 10 | Linear OA(537, 56, F5, 20) (dual of [56, 19, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(535, 51, F5, 20) (dual of [51, 16, 21]-code) | [i] | Construction X with Varšamov Bound | |
| 12 | Linear OOA(533, 24, F5, 2, 20) (dual of [(24, 2), 15, 21]-NRT-code) | [i] | OOA Folding | |