Information on Result #1018370
Linear OOA(6490, 1471, F64, 3, 35) (dual of [(1471, 3), 4323, 36]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6420, 104, F64, 3, 17) (dual of [(104, 3), 292, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,294P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OOA(6470, 1367, F64, 3, 35) (dual of [(1367, 3), 4031, 36]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6470, 4101, F64, 35) (dual of [4101, 4031, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(6470, 4102, F64, 35) (dual of [4102, 4032, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- linear OA(6469, 4097, F64, 35) (dual of [4097, 4028, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- 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(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([0,17]) ⊂ C([0,16]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6470, 4102, F64, 35) (dual of [4102, 4032, 36]-code), using
- OOA 3-folding [i] based on linear OA(6470, 4101, F64, 35) (dual of [4101, 4031, 36]-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.