Information on Result #671262
Linear OA(12872, 2097303, F128, 21) (dual of [2097303, 2097231, 22]-code), using (u, u+v)-construction based on
- linear OA(12811, 150, F128, 10) (dual of [150, 139, 11]-code), using
- extended algebraic-geometric code AGe(F,139P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12861, 2097153, F128, 21) (dual of [2097153, 2097092, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(12872, 699101, F128, 3, 21) (dual of [(699101, 3), 2097231, 22]-NRT-code) | [i] | OOA Folding | |