Information on Result #2423978
Linear OOA(2196, 110, F2, 2, 94) (dual of [(110, 2), 24, 95]-NRT-code), using strength reduction based on linear OOA(2196, 110, F2, 2, 95) (dual of [(110, 2), 24, 96]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1616, 22, F16, 15) (dual of [22, 6, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-code), using
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1616, 22, F16, 15) (dual of [22, 6, 16]-code), 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(2198, 111, F2, 2, 94) (dual of [(111, 2), 24, 95]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2197, 110, F2, 2, 94) (dual of [(110, 2), 23, 95]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2195, 109, F2, 2, 93) (dual of [(109, 2), 23, 94]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2194, 109, F2, 2, 92) (dual of [(109, 2), 24, 93]-NRT-code) | [i] | ||
| 5 | Linear OOA(2193, 108, F2, 2, 91) (dual of [(108, 2), 23, 92]-NRT-code) | [i] | ||
| 6 | Linear OOA(2192, 108, F2, 2, 90) (dual of [(108, 2), 24, 91]-NRT-code) | [i] | ||
| 7 | Linear OOA(2191, 107, F2, 2, 89) (dual of [(107, 2), 23, 90]-NRT-code) | [i] | ||
| 8 | Linear OOA(2190, 107, F2, 2, 88) (dual of [(107, 2), 24, 89]-NRT-code) | [i] | ||
| 9 | Linear OOA(2189, 106, F2, 2, 87) (dual of [(106, 2), 23, 88]-NRT-code) | [i] | ||
| 10 | Linear OOA(2188, 106, F2, 2, 86) (dual of [(106, 2), 24, 87]-NRT-code) | [i] | ||
| 11 | Linear OOA(2187, 105, F2, 2, 85) (dual of [(105, 2), 23, 86]-NRT-code) | [i] | ||
| 12 | Linear OOA(2196, 55, F2, 4, 94) (dual of [(55, 4), 24, 95]-NRT-code) | [i] | OOA Folding | |