Information on Result #610808
Linear OA(252, 104, F2, 19) (dual of [104, 52, 20]-code), using extended quadratic residue code Qe(104,2)
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(252, 104, F2, 18) (dual of [104, 52, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(252, 104, F2, 17) (dual of [104, 52, 18]-code) | [i] | ||
| 3 | Linear OA(252, 104, F2, 16) (dual of [104, 52, 17]-code) | [i] | ||
| 4 | Linear OA(253, 105, F2, 19) (dual of [105, 52, 20]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(254, 106, F2, 19) (dual of [106, 52, 20]-code) | [i] | ||
| 6 | Linear OA(255, 107, F2, 19) (dual of [107, 52, 20]-code) | [i] | ||
| 7 | Linear OA(256, 108, F2, 19) (dual of [108, 52, 20]-code) | [i] | ||
| 8 | Linear OA(251, 103, F2, 18) (dual of [103, 52, 19]-code) | [i] | Truncation | |
| 9 | Linear OA(250, 102, F2, 17) (dual of [102, 52, 18]-code) | [i] | ||
| 10 | Linear OA(249, 101, F2, 16) (dual of [101, 52, 17]-code) | [i] | ||
| 11 | Linear OA(248, 100, F2, 15) (dual of [100, 52, 16]-code) | [i] | ||
| 12 | Linear OA(247, 99, F2, 14) (dual of [99, 52, 15]-code) | [i] | ||
| 13 | Linear OOA(252, 52, F2, 2, 19) (dual of [(52, 2), 52, 20]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(252, 34, F2, 3, 19) (dual of [(34, 3), 50, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(252, 26, F2, 4, 19) (dual of [(26, 4), 52, 20]-NRT-code) | [i] | ||