Information on Result #671295
Linear OA(12865, 2097303, F128, 19) (dual of [2097303, 2097238, 20]-code), using (u, u+v)-construction based on
- linear OA(12810, 150, F128, 9) (dual of [150, 140, 10]-code), using
- extended algebraic-geometric code AGe(F,140P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
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(12865, 699101, F128, 3, 19) (dual of [(699101, 3), 2097238, 20]-NRT-code) | [i] | OOA Folding | |