Information on Result #1022360
Linear OOA(6467, 5608932, F64, 3, 11) (dual of [(5608932, 3), 16826729, 12]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(644, 8265, F64, 3, 2) (dual of [(8265, 3), 24791, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 266305, F64, 3, 2) (dual of [(266305, 3), 798911, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(644, 266305, F64, 2, 2) (dual of [(266305, 2), 532606, 3]-NRT-code), using
- appending kth column [i] based on linear OA(644, 266305, F64, 2) (dual of [266305, 266301, 3]-code), using
- Hamming code H(4,64) [i]
- appending kth column [i] based on linear OA(644, 266305, F64, 2) (dual of [266305, 266301, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(644, 266305, F64, 2, 2) (dual of [(266305, 2), 532606, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 266305, F64, 3, 2) (dual of [(266305, 3), 798911, 3]-NRT-code), using
- linear OOA(645, 8265, F64, 3, 3) (dual of [(8265, 3), 24790, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(645, 8265, F64, 2, 3) (dual of [(8265, 2), 16525, 4]-NRT-code), using
- linear OOA(6417, 2796201, F64, 3, 5) (dual of [(2796201, 3), 8388586, 6]-NRT-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OOA(6417, 4194301, F64, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-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
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.