Information on Result #1082419
Linear OOA(8147, 2097250, F81, 4, 11) (dual of [(2097250, 4), 8388953, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(816, 100, F81, 4, 5) (dual of [(100, 4), 394, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,394P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8141, 2097150, F81, 4, 11) (dual of [(2097150, 4), 8388559, 12]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8141, 8388600, F81, 11) (dual of [8388600, 8388559, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- OOA 4-folding [i] based on linear OA(8141, 8388600, F81, 11) (dual of [8388600, 8388559, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(8164, 4194500, F81, 4, 11) (dual of [(4194500, 4), 16777936, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |