Information on Result #634944

Linear OA(475, 85, F4, 51) (dual of [85, 10, 52]-code), using concatenation of two codes based on
  1. linear OA(1612, 17, F16, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
  2. linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(475, 85, F4, 50) (dual of [85, 10, 51]-code) [i]Strength Reduction
2Linear OA(475, 85, F4, 49) (dual of [85, 10, 50]-code) [i]
3Linear OA(475, 85, F4, 48) (dual of [85, 10, 49]-code) [i]
4Linear OA(476, 86, F4, 51) (dual of [86, 10, 52]-code) [i]Code Embedding in Larger Space
5Linear OA(477, 87, F4, 51) (dual of [87, 10, 52]-code) [i]
6Linear OA(478, 88, F4, 51) (dual of [88, 10, 52]-code) [i]
7Linear OA(479, 89, F4, 51) (dual of [89, 10, 52]-code) [i]
8Linear OA(474, 84, F4, 50) (dual of [84, 10, 51]-code) [i]Truncation
9Linear OA(473, 83, F4, 49) (dual of [83, 10, 50]-code) [i]
10Linear OA(472, 82, F4, 48) (dual of [82, 10, 49]-code) [i]
11Linear OA(471, 81, F4, 47) (dual of [81, 10, 48]-code) [i]
12Linear OA(469, 79, F4, 45) (dual of [79, 10, 46]-code) [i]
13Linear OA(468, 78, F4, 44) (dual of [78, 10, 45]-code) [i]
14Linear OA(467, 77, F4, 43) (dual of [77, 10, 44]-code) [i]
15Linear OA(466, 76, F4, 42) (dual of [76, 10, 43]-code) [i]
16Linear OA(464, 74, F4, 40) (dual of [74, 10, 41]-code) [i]
17Linear OOA(475, 42, F4, 2, 51) (dual of [(42, 2), 9, 52]-NRT-code) [i]OOA Folding
18Linear OOA(475, 28, F4, 3, 51) (dual of [(28, 3), 9, 52]-NRT-code) [i]