Information on Result #662112

Linear OA(4180, 189, F4, 125) (dual of [189, 9, 126]-code), using (u, u−v, u+v+w)-construction based on
  1. linear OA(455, 63, F4, 41) (dual of [63, 8, 42]-code), using
    • 2 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
  2. linear OA(462, 63, F4, 62) (dual of [63, 1, 63]-code or 63-arc in PG(61,4)), using
  3. linear OA(463, 63, F4, 63) (dual of [63, 0, 64]-code or 63-arc in PG(62,4)), 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(4179, 188, F4, 124) (dual of [188, 9, 125]-code) [i]Truncation
2Linear OA(4178, 187, F4, 123) (dual of [187, 9, 124]-code) [i]
3Linear OA(4177, 186, F4, 122) (dual of [186, 9, 123]-code) [i]
4Linear OA(4176, 185, F4, 121) (dual of [185, 9, 122]-code) [i]
5Linear OA(4175, 184, F4, 120) (dual of [184, 9, 121]-code) [i]
6Linear OA(4174, 183, F4, 119) (dual of [183, 9, 120]-code) [i]
7Linear OA(4173, 182, F4, 118) (dual of [182, 9, 119]-code) [i]
8Linear OA(4172, 181, F4, 117) (dual of [181, 9, 118]-code) [i]
9Linear OA(4171, 180, F4, 116) (dual of [180, 9, 117]-code) [i]
10Linear OOA(4180, 94, F4, 2, 125) (dual of [(94, 2), 8, 126]-NRT-code) [i]OOA Folding
11Linear OOA(4180, 63, F4, 3, 125) (dual of [(63, 3), 9, 126]-NRT-code) [i]