Information on Result #734802
Linear OA(6479, 4279, F64, 29) (dual of [4279, 4200, 30]-code), using (u, u+v)-construction based on
- linear OA(6421, 177, F64, 14) (dual of [177, 156, 15]-code), using
- extended algebraic-geometric code AGe(F,162P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6458, 4102, F64, 29) (dual of [4102, 4044, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- linear OA(6457, 4097, F64, 29) (dual of [4097, 4040, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(6453, 4097, F64, 27) (dual of [4097, 4044, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,14]) ⊂ C([0,13]) [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(6479, 2139, F64, 2, 29) (dual of [(2139, 2), 4199, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6479, 1426, F64, 3, 29) (dual of [(1426, 3), 4199, 30]-NRT-code) | [i] | ||