Information on Result #913682
Linear OOA(262, 36, F2, 2, 33) (dual of [(36, 2), 10, 34]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(419, 12, F4, 2, 16) (dual of [(12, 2), 5, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(419, 14, F4, 2, 16) (dual of [(14, 2), 9, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(419, 14, F4, 2, 16) (dual of [(14, 2), 9, 17]-NRT-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(262, 36, F2, 2, 32) (dual of [(36, 2), 10, 33]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2131, 70, F2, 2, 66) (dual of [(70, 2), 9, 67]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(2131, 70, F2, 2, 67) (dual of [(70, 2), 9, 68]-NRT-code) | [i] | ||
| 4 | Linear OOA(2204, 106, F2, 2, 105) (dual of [(106, 2), 8, 106]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 5 | Linear OOA(2252, 130, F2, 2, 129) (dual of [(130, 2), 8, 130]-NRT-code) | [i] | ||
| 6 | Linear OOA(262, 18, F2, 4, 33) (dual of [(18, 4), 10, 34]-NRT-code) | [i] | OOA Folding | |