Information on Result #1029427
Linear OOA(2158, 72, F2, 3, 67) (dual of [(72, 3), 58, 68]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(443, 24, F4, 3, 33) (dual of [(24, 3), 29, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(443, 26, F4, 3, 33) (dual of [(26, 3), 35, 34]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,44P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(443, 26, F4, 3, 33) (dual of [(26, 3), 35, 34]-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(2158, 72, F2, 3, 66) (dual of [(72, 3), 58, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2158, 72, F2, 3, 65) (dual of [(72, 3), 58, 66]-NRT-code) | [i] | ||
| 3 | Linear OOA(2159, 72, F2, 3, 67) (dual of [(72, 3), 57, 68]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2157, 71, F2, 3, 66) (dual of [(71, 3), 56, 67]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2158, 36, F2, 5, 67) (dual of [(36, 5), 22, 68]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2158, 36, F2, 6, 67) (dual of [(36, 6), 58, 68]-NRT-code) | [i] | ||