Information on Result #1084873
Linear OOA(12832, 6941863, F128, 4, 7) (dual of [(6941863, 4), 27767420, 8]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1280, s, F128, 4, 0) for arbitrarily large s, using
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1280, 49156, F128, 4, 0) (dual of [(49156, 4), 196624, 1]-NRT-code) (see above)
- linear OOA(1281, 49156, F128, 4, 1) (dual of [(49156, 4), 196623, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1281, s, F128, 4, 1) for arbitrarily large s, using
- appending 3 arbitrary columns [i] based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(1281, s, F128, 4, 1) for arbitrarily large s, using
- linear OOA(1281, 49156, F128, 4, 1) (dual of [(49156, 4), 196623, 2]-NRT-code) (see above)
- linear OOA(1281, 49156, F128, 4, 1) (dual of [(49156, 4), 196623, 2]-NRT-code) (see above)
- linear OOA(1281, 49156, F128, 4, 1) (dual of [(49156, 4), 196623, 2]-NRT-code) (see above)
- linear OOA(1284, 49156, F128, 4, 2) (dual of [(49156, 4), 196620, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1284, 2113665, F128, 4, 2) (dual of [(2113665, 4), 8454656, 3]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(1284, 2113665, F128, 2, 2) (dual of [(2113665, 2), 4227326, 3]-NRT-code), using
- appending kth column [i] based on linear OA(1284, 2113665, F128, 2) (dual of [2113665, 2113661, 3]-code), using
- Hamming code H(4,128) [i]
- appending kth column [i] based on linear OA(1284, 2113665, F128, 2) (dual of [2113665, 2113661, 3]-code), using
- appending 2 arbitrary columns [i] based on linear OOA(1284, 2113665, F128, 2, 2) (dual of [(2113665, 2), 4227326, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1284, 2113665, F128, 4, 2) (dual of [(2113665, 4), 8454656, 3]-NRT-code), using
- linear OOA(1285, 49156, F128, 4, 3) (dual of [(49156, 4), 196619, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(1285, 49156, F128, 3, 3) (dual of [(49156, 3), 147463, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(1285, 49156, F128, 2, 3) (dual of [(49156, 2), 98307, 4]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(1285, 49156, F128, 3, 3) (dual of [(49156, 3), 147463, 4]-NRT-code), using
- linear OOA(12819, 699051, F128, 4, 7) (dual of [(699051, 4), 2796185, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(12819, 2097154, F128, 7) (dual of [2097154, 2097135, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(12819, 2097155, F128, 7) (dual of [2097155, 2097136, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(12819, 2097152, F128, 7) (dual of [2097152, 2097133, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(12816, 2097152, F128, 6) (dual of [2097152, 2097136, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(12819, 2097155, F128, 7) (dual of [2097155, 2097136, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(12819, 2097154, F128, 7) (dual of [2097154, 2097135, 8]-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.