Information on Result #609922

Linear OA(1649, 52, F16, 47) (dual of [52, 3, 48]-code), using Denniston code D(2,16)

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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(1649, 52, F16, 46) (dual of [52, 3, 47]-code) [i]Strength Reduction
2Linear OA(1649, 52, F16, 45) (dual of [52, 3, 46]-code) [i]
3Linear OA(1648, 51, F16, 46) (dual of [51, 3, 47]-code) [i]Truncation
4Linear OA(1647, 50, F16, 45) (dual of [50, 3, 46]-code) [i]
5Linear OA(1646, 49, F16, 44) (dual of [49, 3, 45]-code) [i]
6Linear OA(1645, 48, F16, 43) (dual of [48, 3, 44]-code) [i]
7Linear OA(1644, 47, F16, 42) (dual of [47, 3, 43]-code) [i]
8Linear OA(1643, 46, F16, 41) (dual of [46, 3, 42]-code) [i]
9Linear OA(1642, 45, F16, 40) (dual of [45, 3, 41]-code) [i]
10Linear OA(1641, 44, F16, 39) (dual of [44, 3, 40]-code) [i]
11Linear OA(1640, 43, F16, 38) (dual of [43, 3, 39]-code) [i]
12Linear OA(1639, 42, F16, 37) (dual of [42, 3, 38]-code) [i]
13Linear OA(1638, 41, F16, 36) (dual of [41, 3, 37]-code) [i]
14Linear OA(1637, 40, F16, 35) (dual of [40, 3, 36]-code) [i]
15Linear OA(1636, 39, F16, 34) (dual of [39, 3, 35]-code) [i]
16Linear OA(1635, 38, F16, 33) (dual of [38, 3, 34]-code) [i]
17Linear OA(1634, 37, F16, 32) (dual of [37, 3, 33]-code) [i]
18Linear OA(1633, 36, F16, 31) (dual of [36, 3, 32]-code) [i]
19Linear OA(1632, 35, F16, 30) (dual of [35, 3, 31]-code) [i]
20Linear OA(1631, 34, F16, 29) (dual of [34, 3, 30]-code) [i]
21Linear OA(1630, 33, F16, 28) (dual of [33, 3, 29]-code) [i]
22Linear OA(1664, 67, F16, 60) (dual of [67, 3, 61]-code) [i]Juxtaposition
23Linear OA(1665, 68, F16, 61) (dual of [68, 3, 62]-code) [i]
24Linear OA(1666, 69, F16, 62) (dual of [69, 3, 63]-code) [i]
25Linear OA(1667, 70, F16, 63) (dual of [70, 3, 64]-code) [i]
26Linear OA(4202, 208, F4, 143) (dual of [208, 6, 144]-code) [i]Concatenation of Two Codes
27Linear OA(4254, 260, F4, 191) (dual of [260, 6, 192]-code) [i]
28Linear OOA(1649, 26, F16, 2, 47) (dual of [(26, 2), 3, 48]-NRT-code) [i]OOA Folding