Information on Result #669375
Linear OA(6415, 262208, F64, 5) (dual of [262208, 262193, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(640, 4097, F64, 0) (dual of [4097, 4097, 1]-code) (see above)
- linear OA(641, 4097, F64, 1) (dual of [4097, 4096, 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
- linear OA(641, 4097, F64, 1) (dual of [4097, 4096, 2]-code) (see above)
- linear OA(641, 4097, F64, 1) (dual of [4097, 4096, 2]-code) (see above)
- linear OA(643, 4097, F64, 2) (dual of [4097, 4094, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(643, 4161, F64, 2) (dual of [4161, 4158, 3]-code), using
- Hamming code H(3,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 4161, F64, 2) (dual of [4161, 4158, 3]-code), using
- linear OA(649, 4097, F64, 5) (dual of [4097, 4088, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
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.