Information on Result #2652532
Linear OOA(2109, 38, F2, 3, 78) (dual of [(38, 3), 5, 79]-NRT-code), using 5 step truncation based on linear OOA(2114, 40, F2, 3, 83) (dual of [(40, 3), 6, 84]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(86, 8, F8, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
- Reed–Solomon code RS(2,8) [i]
- linear OOA(212, 5, F2, 3, 11) (dual of [(5, 3), 3, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(86, 8, F8, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), 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(2223, 76, F2, 3, 157) (dual of [(76, 3), 5, 158]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(2241, 82, F2, 3, 172) (dual of [(82, 3), 5, 173]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 3 | Linear OOA(2109, 19, F2, 6, 78) (dual of [(19, 6), 5, 79]-NRT-code) | [i] | OOA Folding | |