Information on Result #1088078
Linear OOA(2219, 60, F2, 4, 129) (dual of [(60, 4), 21, 130]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1289, 12, F128, 9) (dual of [12, 3, 10]-code or 12-arc in PG(8,128)), using
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- Reed–Solomon code RS(119,128) [i]
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- linear OOA(213, 5, F2, 4, 12) (dual of [(5, 4), 7, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,7P) [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(2219, 60, F2, 4, 128) (dual of [(60, 4), 21, 129]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2219, 30, F2, 8, 129) (dual of [(30, 8), 21, 130]-NRT-code) | [i] | OOA Folding | |