Information on Result #734273
Linear OA(3243, 1074, F32, 17) (dual of [1074, 1031, 18]-code), using (u, u+v)-construction based on
- linear OA(329, 44, F32, 8) (dual of [44, 35, 9]-code), using
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3234, 1030, F32, 17) (dual of [1030, 996, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(3233, 1025, F32, 17) (dual of [1025, 992, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(3229, 1025, F32, 15) (dual of [1025, 996, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
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(3243, 537, F32, 2, 17) (dual of [(537, 2), 1031, 18]-NRT-code) | [i] | OOA Folding | |