Information on Result #1021726
Linear OOA(723, 16471, F7, 3, 5) (dual of [(16471, 3), 49390, 6]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(70, 2353, F7, 3, 0) (dual of [(2353, 3), 7059, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(70, s, F7, 3, 0) for arbitrarily large s, using
- linear OOA(70, 2353, F7, 3, 0) (dual of [(2353, 3), 7059, 1]-NRT-code) (see above)
- linear OOA(71, 2353, F7, 3, 1) (dual of [(2353, 3), 7058, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(71, s, F7, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [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, 3, 1) for arbitrarily large s, using
- linear OOA(71, 2353, F7, 3, 1) (dual of [(2353, 3), 7058, 2]-NRT-code) (see above)
- linear OOA(71, 2353, F7, 3, 1) (dual of [(2353, 3), 7058, 2]-NRT-code) (see above)
- linear OOA(75, 2353, F7, 3, 2) (dual of [(2353, 3), 7054, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(75, 2801, F7, 3, 2) (dual of [(2801, 3), 8398, 3]-NRT-code), using
- appending 1 arbitrary column [i] 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
- appending 1 arbitrary column [i] based on linear OOA(75, 2801, F7, 2, 2) (dual of [(2801, 2), 5597, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(75, 2801, F7, 3, 2) (dual of [(2801, 3), 8398, 3]-NRT-code), using
- linear OOA(715, 2353, F7, 3, 5) (dual of [(2353, 3), 7044, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(715, 4707, F7, 5) (dual of [4707, 4692, 6]-code), using
- 1 times code embedding in larger space [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
- 1 times code embedding in larger space [i] based on linear OA(714, 4706, F7, 5) (dual of [4706, 4692, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(715, 4707, F7, 5) (dual of [4707, 4692, 6]-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.