Information on Result #1017713
Linear OOA(6469, 5604500, F64, 3, 11) (dual of [(5604500, 3), 16813431, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6417, 4194301, F64, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- linear OOA(6452, 2802250, F64, 3, 11) (dual of [(2802250, 3), 8406698, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6411, 6049, F64, 3, 5) (dual of [(6049, 3), 18136, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(6411, 12099, F64, 5) (dual of [12099, 12088, 6]-code), using
- (u, u−v, u+v+w)-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(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
- (u, u−v, u+v+w)-construction [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OA(6411, 12099, F64, 5) (dual of [12099, 12088, 6]-code), using
- linear OOA(6441, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- linear OOA(6411, 6049, F64, 3, 5) (dual of [(6049, 3), 18136, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
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.