Information on Result #1049466
Linear OOA(2163, 56, F2, 3, 116) (dual of [(56, 3), 5, 117]-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(2148, 51, F2, 3, 106) (dual of [(51, 3), 5, 107]-NRT-code), using
- strength reduction [i] based on linear OOA(2148, 51, F2, 3, 107) (dual of [(51, 3), 5, 108]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(213, 6, F2, 3, 11) (dual of [(6, 3), 5, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- linear OOA(2130, 45, F2, 3, 95) (dual of [(45, 3), 5, 96]-NRT-code), using
- 21 times duplication [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
- 21 times duplication [i] based on linear OOA(2129, 45, F2, 3, 95) (dual of [(45, 3), 6, 96]-NRT-code), using
- linear OOA(213, 6, F2, 3, 11) (dual of [(6, 3), 5, 12]-NRT-code), using
- juxtaposition [i] based on
- strength reduction [i] based on linear OOA(2148, 51, F2, 3, 107) (dual of [(51, 3), 5, 108]-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(2163, 56, F2, 3, 115) (dual of [(56, 3), 5, 116]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2163, 56, F2, 3, 114) (dual of [(56, 3), 5, 115]-NRT-code) | [i] | ||
| 3 | Linear OOA(2163, 56, F2, 3, 113) (dual of [(56, 3), 5, 114]-NRT-code) | [i] | ||
| 4 | Linear OOA(2163, 56, F2, 3, 112) (dual of [(56, 3), 5, 113]-NRT-code) | [i] | ||
| 5 | Linear OOA(2178, 61, F2, 3, 126) (dual of [(61, 3), 5, 127]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 6 | Linear OOA(2163, 28, F2, 6, 116) (dual of [(28, 6), 5, 117]-NRT-code) | [i] | OOA Folding | |