Information on Result #1049414
Linear OOA(2257, 88, F2, 3, 178) (dual of [(88, 3), 7, 179]-NRT-code), using juxtaposition based on
- linear OOA(217, 8, F2, 3, 13) (dual of [(8, 3), 7, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,10P) [i] based on function field F/F2 with g(F) = 4 and N(F) ≥ 8, using
- linear OOA(2233, 80, F2, 3, 164) (dual of [(80, 3), 7, 165]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2232, 80, F2, 3, 164) (dual of [(80, 3), 8, 165]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1614, 16, F16, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), using
- Reed–Solomon code RS(2,16) [i]
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1614, 16, F16, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), using
- concatenation of two NRT-codes [i] based on
- 21 times duplication [i] based on linear OOA(2232, 80, F2, 3, 164) (dual of [(80, 3), 8, 165]-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(2257, 88, F2, 3, 177) (dual of [(88, 3), 7, 178]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 88, F2, 3, 176) (dual of [(88, 3), 7, 177]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 88, F2, 3, 175) (dual of [(88, 3), 7, 176]-NRT-code) | [i] | ||
| 4 | Linear OOA(2257, 44, F2, 6, 178) (dual of [(44, 6), 7, 179]-NRT-code) | [i] | OOA Folding | |