Information on Result #634510

Linear OA(458, 68, F4, 38) (dual of [68, 10, 39]-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(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), 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(458, 68, F4, 37) (dual of [68, 10, 38]-code) [i]Strength Reduction
2Linear OA(458, 68, F4, 36) (dual of [68, 10, 37]-code) [i]
3Linear OA(457, 67, F4, 37) (dual of [67, 10, 38]-code) [i]Truncation
4Linear OA(456, 66, F4, 36) (dual of [66, 10, 37]-code) [i]
5Linear OA(455, 65, F4, 35) (dual of [65, 10, 36]-code) [i]
6Linear OA(453, 63, F4, 33) (dual of [63, 10, 34]-code) [i]
7Linear OA(2183, 201, F2, 77) (dual of [201, 18, 78]-code) [i]Concatenation of Two Codes
8Linear OOA(2250, 134, F2, 2, 116) (dual of [(134, 2), 18, 117]-NRT-code) [i]Concatenation of Two NRT-Codes
9Linear OOA(458, 34, F4, 2, 38) (dual of [(34, 2), 10, 39]-NRT-code) [i]OOA Folding