Information on Result #1018298
Linear OOA(6484, 1544, F64, 3, 31) (dual of [(1544, 3), 4548, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6422, 177, F64, 3, 15) (dual of [(177, 3), 509, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,515P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6462, 1367, F64, 3, 31) (dual of [(1367, 3), 4039, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6462, 4101, F64, 31) (dual of [4101, 4039, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(6462, 4102, F64, 31) (dual of [4102, 4040, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- 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(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(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([0,15]) ⊂ C([0,14]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6462, 4102, F64, 31) (dual of [4102, 4040, 32]-code), using
- OOA 3-folding [i] based on linear OA(6462, 4101, F64, 31) (dual of [4101, 4039, 32]-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.