Information on Result #634941

Linear OA(470, 80, F4, 47) (dual of [80, 10, 48]-code), using concatenation of two codes based on
  1. linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), 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(470, 80, F4, 46) (dual of [80, 10, 47]-code) [i]Strength Reduction
2Linear OA(470, 80, F4, 45) (dual of [80, 10, 46]-code) [i]
3Linear OA(469, 79, F4, 46) (dual of [79, 10, 47]-code) [i]Truncation
4Linear OA(468, 78, F4, 45) (dual of [78, 10, 46]-code) [i]
5Linear OA(467, 77, F4, 44) (dual of [77, 10, 45]-code) [i]
6Linear OA(466, 76, F4, 43) (dual of [76, 10, 44]-code) [i]
7Linear OA(464, 74, F4, 41) (dual of [74, 10, 42]-code) [i]
8Linear OA(463, 73, F4, 40) (dual of [73, 10, 41]-code) [i]
9Linear OA(462, 72, F4, 39) (dual of [72, 10, 40]-code) [i]
10Linear OA(461, 71, F4, 38) (dual of [71, 10, 39]-code) [i]
11Linear OA(459, 69, F4, 36) (dual of [69, 10, 37]-code) [i]
12Linear OOA(470, 40, F4, 2, 47) (dual of [(40, 2), 10, 48]-NRT-code) [i]OOA Folding