Information on Result #2767788
Linear OOA(2252, 78, F2, 4, 118) (dual of [(78, 4), 60, 119]-NRT-code), using strength reduction based on linear OOA(2252, 78, F2, 4, 119) (dual of [(78, 4), 60, 120]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3214, 26, F32, 14) (dual of [26, 12, 15]-code or 26-arc in PG(13,32)), using
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- Reed–Solomon code RS(18,32) [i]
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- linear OOA(27, 3, F2, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;5,2) [i]
- linear OA(3214, 26, F32, 14) (dual of [26, 12, 15]-code or 26-arc in PG(13,32)), 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(2256, 79, F2, 4, 118) (dual of [(79, 4), 60, 119]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2253, 78, F2, 4, 118) (dual of [(78, 4), 59, 119]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2254, 78, F2, 4, 118) (dual of [(78, 4), 58, 119]-NRT-code) | [i] | ||
| 4 | Linear OOA(2255, 78, F2, 4, 118) (dual of [(78, 4), 57, 119]-NRT-code) | [i] | ||
| 5 | Linear OOA(2251, 77, F2, 4, 117) (dual of [(77, 4), 57, 118]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2250, 77, F2, 4, 116) (dual of [(77, 4), 58, 117]-NRT-code) | [i] | ||
| 7 | Linear OOA(2249, 77, F2, 4, 115) (dual of [(77, 4), 59, 116]-NRT-code) | [i] | ||
| 8 | Linear OOA(2248, 77, F2, 4, 114) (dual of [(77, 4), 60, 115]-NRT-code) | [i] | ||
| 9 | Linear OOA(2247, 76, F2, 4, 113) (dual of [(76, 4), 57, 114]-NRT-code) | [i] | ||
| 10 | Linear OOA(2246, 76, F2, 4, 112) (dual of [(76, 4), 58, 113]-NRT-code) | [i] | ||
| 11 | Linear OOA(2245, 76, F2, 4, 111) (dual of [(76, 4), 59, 112]-NRT-code) | [i] | ||
| 12 | Linear OOA(2244, 76, F2, 4, 110) (dual of [(76, 4), 60, 111]-NRT-code) | [i] | ||
| 13 | Linear OOA(2243, 75, F2, 4, 109) (dual of [(75, 4), 57, 110]-NRT-code) | [i] | ||
| 14 | Linear OOA(2242, 75, F2, 4, 108) (dual of [(75, 4), 58, 109]-NRT-code) | [i] | ||
| 15 | Linear OOA(2241, 75, F2, 4, 107) (dual of [(75, 4), 59, 108]-NRT-code) | [i] | ||
| 16 | Linear OOA(2239, 74, F2, 4, 105) (dual of [(74, 4), 57, 106]-NRT-code) | [i] | ||
| 17 | Linear OOA(2252, 39, F2, 7, 118) (dual of [(39, 7), 21, 119]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2252, 39, F2, 8, 118) (dual of [(39, 8), 60, 119]-NRT-code) | [i] | ||