Information on Result #1028213
Linear OOA(2102, 36, F2, 3, 71) (dual of [(36, 3), 6, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- extended Reed–Solomon code RSe(2,8) [i]
- Simplex code S(2,8) [i]
- linear OOA(29, 4, F2, 3, 8) (dual of [(4, 3), 3, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(29, 5, F2, 3, 8) (dual of [(5, 3), 6, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(29, 5, F2, 3, 8) (dual of [(5, 3), 6, 9]-NRT-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(2102, 36, F2, 3, 70) (dual of [(36, 3), 6, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2102, 18, F2, 6, 71) (dual of [(18, 6), 6, 72]-NRT-code) | [i] | OOA Folding | |