Information on Result #944631
Linear OOA(724, 16526, F7, 3, 5) (dual of [(16526, 3), 49554, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(724, 16527, F7, 2, 5) (dual of [(16527, 2), 33030, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(70, 2361, F7, 2, 0) (dual of [(2361, 2), 4722, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(70, s, F7, 2, 0) for arbitrarily large s, using
- linear OOA(70, 2361, F7, 2, 0) (dual of [(2361, 2), 4722, 1]-NRT-code) (see above)
- linear OOA(71, 2361, F7, 2, 1) (dual of [(2361, 2), 4721, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(71, s, F7, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(71, s, F7, 2, 1) for arbitrarily large s, using
- linear OOA(71, 2361, F7, 2, 1) (dual of [(2361, 2), 4721, 2]-NRT-code) (see above)
- linear OOA(71, 2361, F7, 2, 1) (dual of [(2361, 2), 4721, 2]-NRT-code) (see above)
- linear OOA(75, 2361, F7, 2, 2) (dual of [(2361, 2), 4717, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(75, 2801, F7, 2, 2) (dual of [(2801, 2), 5597, 3]-NRT-code), using
- appending kth column [i] based on linear OA(75, 2801, F7, 2) (dual of [2801, 2796, 3]-code), using
- Hamming code H(5,7) [i]
- appending kth column [i] based on linear OA(75, 2801, F7, 2) (dual of [2801, 2796, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(75, 2801, F7, 2, 2) (dual of [(2801, 2), 5597, 3]-NRT-code), using
- linear OOA(716, 2361, F7, 2, 5) (dual of [(2361, 2), 4706, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(72, 8, F7, 2, 2) (dual of [(8, 2), 14, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;14,7) [i]
- linear OOA(714, 2353, F7, 2, 5) (dual of [(2353, 2), 4692, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(714, 4706, F7, 5) (dual of [4706, 4692, 6]-code), using
- trace code [i] based on linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- OOA 2-folding [i] based on linear OA(714, 4706, F7, 5) (dual of [4706, 4692, 6]-code), using
- linear OOA(72, 8, F7, 2, 2) (dual of [(8, 2), 14, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(70, 2361, F7, 2, 0) (dual of [(2361, 2), 4722, 1]-NRT-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.