Information on Result #911989
Linear OOA(2206, 115, F2, 2, 101) (dual of [(115, 2), 24, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1617, 23, F16, 16) (dual of [23, 6, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1617, 24, F16, 16) (dual of [24, 7, 17]-code), using
- extended algebraic-geometric code AGe(F,7P) [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(1617, 24, F16, 16) (dual of [24, 7, 17]-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
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(2206, 115, F2, 2, 100) (dual of [(115, 2), 24, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2206, 115, F2, 2, 99) (dual of [(115, 2), 24, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(2206, 115, F2, 2, 98) (dual of [(115, 2), 24, 99]-NRT-code) | [i] | ||
| 4 | Linear OOA(2206, 115, F2, 2, 97) (dual of [(115, 2), 24, 98]-NRT-code) | [i] | ||
| 5 | Linear OOA(2206, 115, F2, 2, 96) (dual of [(115, 2), 24, 97]-NRT-code) | [i] | ||
| 6 | Linear OOA(2208, 116, F2, 2, 101) (dual of [(116, 2), 24, 102]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2207, 115, F2, 2, 101) (dual of [(115, 2), 23, 102]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2205, 114, F2, 2, 100) (dual of [(114, 2), 23, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2204, 114, F2, 2, 99) (dual of [(114, 2), 24, 100]-NRT-code) | [i] | ||
| 10 | Linear OOA(2203, 113, F2, 2, 98) (dual of [(113, 2), 23, 99]-NRT-code) | [i] | ||
| 11 | Linear OOA(2202, 113, F2, 2, 97) (dual of [(113, 2), 24, 98]-NRT-code) | [i] | ||
| 12 | Linear OOA(2201, 112, F2, 2, 96) (dual of [(112, 2), 23, 97]-NRT-code) | [i] | ||
| 13 | Linear OOA(2200, 112, F2, 2, 95) (dual of [(112, 2), 24, 96]-NRT-code) | [i] | ||
| 14 | Linear OOA(2199, 111, F2, 2, 94) (dual of [(111, 2), 23, 95]-NRT-code) | [i] | ||
| 15 | Linear OOA(2198, 111, F2, 2, 93) (dual of [(111, 2), 24, 94]-NRT-code) | [i] | ||
| 16 | Linear OOA(2197, 110, F2, 2, 92) (dual of [(110, 2), 23, 93]-NRT-code) | [i] | ||
| 17 | Linear OOA(2195, 109, F2, 2, 90) (dual of [(109, 2), 23, 91]-NRT-code) | [i] | ||
| 18 | Linear OOA(2206, 57, F2, 4, 101) (dual of [(57, 4), 22, 102]-NRT-code) | [i] | OOA Folding | |