Information on Result #2615786
Linear OOA(2196, 72, F2, 3, 112) (dual of [(72, 3), 20, 113]-NRT-code), using strength reduction based on linear OOA(2196, 72, F2, 3, 113) (dual of [(72, 3), 20, 114]-NRT-code), using
- concatenation of two NRT-codes [i] 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
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
- linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-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(2195, 71, F2, 3, 111) (dual of [(71, 3), 18, 112]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2194, 71, F2, 3, 110) (dual of [(71, 3), 19, 111]-NRT-code) | [i] | ||
| 3 | Linear OOA(2193, 71, F2, 3, 109) (dual of [(71, 3), 20, 110]-NRT-code) | [i] | ||
| 4 | Linear OOA(2192, 70, F2, 3, 108) (dual of [(70, 3), 18, 109]-NRT-code) | [i] | ||
| 5 | Linear OOA(2191, 70, F2, 3, 107) (dual of [(70, 3), 19, 108]-NRT-code) | [i] | ||
| 6 | Linear OOA(2189, 69, F2, 3, 105) (dual of [(69, 3), 18, 106]-NRT-code) | [i] | ||
| 7 | Linear OOA(2188, 69, F2, 3, 104) (dual of [(69, 3), 19, 105]-NRT-code) | [i] | ||
| 8 | Linear OOA(2186, 68, F2, 3, 102) (dual of [(68, 3), 18, 103]-NRT-code) | [i] | ||
| 9 | Linear OOA(2196, 36, F2, 6, 112) (dual of [(36, 6), 20, 113]-NRT-code) | [i] | OOA Folding | |