Information on Result #671414
Linear OA(12837, 2097303, F128, 11) (dual of [2097303, 2097266, 12]-code), using (u, u+v)-construction based on
- linear OA(1286, 150, F128, 5) (dual of [150, 144, 6]-code), using
- extended algebraic-geometric code AGe(F,144P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12831, 2097153, F128, 11) (dual of [2097153, 2097122, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(12837, 699101, F128, 3, 11) (dual of [(699101, 3), 2097266, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12837, 419460, F128, 11, 11) (dual of [(419460, 11), 4614023, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |