Information on Result #1028230
Linear OOA(2258, 88, F2, 3, 181) (dual of [(88, 3), 6, 182]-NRT-code), using concatenation of two NRT-codes 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(230, 11, F2, 3, 25) (dual of [(11, 3), 3, 26]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(26, 3, F2, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,2) [i]
- linear OOA(221, 8, F2, 3, 18) (dual of [(8, 3), 3, 19]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(26, 3, F2, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code) (see above)
- 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
- juxtaposition [i] based on
- linear OOA(26, 3, F2, 3, 6) (dual of [(3, 3), 3, 7]-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(2258, 88, F2, 3, 180) (dual of [(88, 3), 6, 181]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2258, 88, F2, 3, 179) (dual of [(88, 3), 6, 180]-NRT-code) | [i] | ||
| 3 | Linear OOA(2258, 88, F2, 3, 178) (dual of [(88, 3), 6, 179]-NRT-code) | [i] | ||
| 4 | Linear OOA(2258, 88, F2, 3, 177) (dual of [(88, 3), 6, 178]-NRT-code) | [i] | ||
| 5 | Linear OOA(2258, 88, F2, 3, 176) (dual of [(88, 3), 6, 177]-NRT-code) | [i] | ||
| 6 | Linear OOA(2256, 87, F2, 3, 179) (dual of [(87, 3), 5, 180]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2255, 87, F2, 3, 178) (dual of [(87, 3), 6, 179]-NRT-code) | [i] | ||
| 8 | Linear OOA(2252, 86, F2, 3, 175) (dual of [(86, 3), 6, 176]-NRT-code) | [i] | ||
| 9 | Linear OOA(2258, 44, F2, 6, 181) (dual of [(44, 6), 6, 182]-NRT-code) | [i] | OOA Folding | |