Information on Result #913814
Linear OOA(277, 52, F2, 2, 33) (dual of [(52, 2), 27, 34]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(817, 13, F8, 2, 16) (dual of [(13, 2), 9, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(817, 14, F8, 2, 16) (dual of [(14, 2), 11, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(817, 14, F8, 2, 16) (dual of [(14, 2), 11, 17]-NRT-code), using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(277, 52, F2, 2, 32) (dual of [(52, 2), 27, 33]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(278, 52, F2, 2, 33) (dual of [(52, 2), 26, 34]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(277, 26, F2, 4, 33) (dual of [(26, 4), 27, 34]-NRT-code) | [i] | OOA Folding | |