Information on Result #1018337
Linear OOA(6487, 1495, F64, 3, 33) (dual of [(1495, 3), 4398, 34]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6421, 128, F64, 3, 16) (dual of [(128, 3), 363, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,367P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OOA(6466, 1367, F64, 3, 33) (dual of [(1367, 3), 4035, 34]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6466, 4101, F64, 33) (dual of [4101, 4035, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(6466, 4102, F64, 33) (dual of [4102, 4036, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,15]) [i] based on
- linear OA(6465, 4097, F64, 33) (dual of [4097, 4032, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(6461, 4097, F64, 31) (dual of [4097, 4036, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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([0,16]) ⊂ C([0,15]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6466, 4102, F64, 33) (dual of [4102, 4036, 34]-code), using
- OOA 3-folding [i] based on linear OA(6466, 4101, F64, 33) (dual of [4101, 4035, 34]-code), using
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
None.