Information on Result #912004
Linear OOA(2214, 115, F2, 2, 113) (dual of [(115, 2), 16, 114]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1619, 23, F16, 18) (dual of [23, 4, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using
- extended algebraic-geometric code AGe(F,5P) [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(1619, 24, F16, 18) (dual of [24, 5, 19]-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(2214, 115, F2, 2, 112) (dual of [(115, 2), 16, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2214, 115, F2, 2, 111) (dual of [(115, 2), 16, 112]-NRT-code) | [i] | ||
| 3 | Linear OOA(2214, 115, F2, 2, 110) (dual of [(115, 2), 16, 111]-NRT-code) | [i] | ||
| 4 | Linear OOA(2214, 115, F2, 2, 109) (dual of [(115, 2), 16, 110]-NRT-code) | [i] | ||
| 5 | Linear OOA(2214, 115, F2, 2, 108) (dual of [(115, 2), 16, 109]-NRT-code) | [i] | ||
| 6 | Linear OOA(2216, 116, F2, 2, 113) (dual of [(116, 2), 16, 114]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2215, 115, F2, 2, 113) (dual of [(115, 2), 15, 114]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2213, 114, F2, 2, 112) (dual of [(114, 2), 15, 113]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2212, 114, F2, 2, 111) (dual of [(114, 2), 16, 112]-NRT-code) | [i] | ||
| 10 | Linear OOA(2211, 113, F2, 2, 110) (dual of [(113, 2), 15, 111]-NRT-code) | [i] | ||
| 11 | Linear OOA(2210, 113, F2, 2, 109) (dual of [(113, 2), 16, 110]-NRT-code) | [i] | ||
| 12 | Linear OOA(2209, 112, F2, 2, 108) (dual of [(112, 2), 15, 109]-NRT-code) | [i] | ||
| 13 | Linear OOA(2206, 111, F2, 2, 105) (dual of [(111, 2), 16, 106]-NRT-code) | [i] | ||
| 14 | Linear OOA(2205, 110, F2, 2, 104) (dual of [(110, 2), 15, 105]-NRT-code) | [i] | ||
| 15 | Linear OOA(2203, 109, F2, 2, 102) (dual of [(109, 2), 15, 103]-NRT-code) | [i] | ||
| 16 | Linear OOA(2214, 57, F2, 4, 113) (dual of [(57, 4), 14, 114]-NRT-code) | [i] | OOA Folding | |