Information on Result #1049464
Linear OOA(2157, 54, F2, 3, 113) (dual of [(54, 3), 5, 114]-NRT-code), using juxtaposition based on
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2142, 49, F2, 3, 103) (dual of [(49, 3), 5, 104]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code) (see above)
- linear OOA(2127, 44, F2, 3, 93) (dual of [(44, 3), 5, 94]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2129, 45, F2, 3, 95) (dual of [(45, 3), 6, 96]-NRT-code), using
- concatenation of two NRT-codes [i] 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(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 (see above)
- linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- concatenation of two NRT-codes [i] based on
- 2 step truncation [i] based on linear OOA(2129, 45, F2, 3, 95) (dual of [(45, 3), 6, 96]-NRT-code), using
- juxtaposition [i] based on
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(2157, 54, F2, 3, 112) (dual of [(54, 3), 5, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2157, 54, F2, 3, 111) (dual of [(54, 3), 5, 112]-NRT-code) | [i] | ||
| 3 | Linear OOA(2157, 54, F2, 3, 110) (dual of [(54, 3), 5, 111]-NRT-code) | [i] | ||
| 4 | Linear OOA(2172, 59, F2, 3, 123) (dual of [(59, 3), 5, 124]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 5 | Linear OOA(2157, 27, F2, 6, 113) (dual of [(27, 6), 5, 114]-NRT-code) | [i] | OOA Folding | |