Information on Result #1028215
Linear OOA(284, 30, F2, 3, 59) (dual of [(30, 3), 6, 60]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- 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
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(284, 30, F2, 3, 58) (dual of [(30, 3), 6, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(284, 30, F2, 3, 57) (dual of [(30, 3), 6, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(283, 29, F2, 3, 58) (dual of [(29, 3), 4, 59]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(281, 29, F2, 3, 56) (dual of [(29, 3), 6, 57]-NRT-code) | [i] | ||
| 5 | Linear OOA(278, 28, F2, 3, 53) (dual of [(28, 3), 6, 54]-NRT-code) | [i] | ||
| 6 | Linear OOA(284, 15, F2, 6, 59) (dual of [(15, 6), 6, 60]-NRT-code) | [i] | OOA Folding | |