Information on Result #903610
Linear OOA(6449, 4202367, F64, 2, 10) (dual of [(4202367, 2), 8404685, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6412, 8066, F64, 2, 5) (dual of [(8066, 2), 16120, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6412, 16132, F64, 5) (dual of [16132, 16120, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(641, 4033, F64, 1) (dual of [4033, 4032, 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, 4033, F64, 1) (dual of [4033, 4032, 2]-code) (see above)
- linear OA(643, 4033, F64, 2) (dual of [4033, 4030, 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(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- linear OA(641, 4033, F64, 1) (dual of [4033, 4032, 2]-code), using
- generalized (u, u+v)-construction [i] based on
- OOA 2-folding [i] based on linear OA(6412, 16132, F64, 5) (dual of [16132, 16120, 6]-code), using
- linear OOA(6437, 4194301, F64, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6437, 8388602, F64, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- OOA 2-folding [i] based on linear OA(6437, 8388602, F64, 10) (dual of [8388602, 8388565, 11]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.