Information on Result #658575

Linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using construction X applied to C1 ⊂ C2 with C1 a [17,1,16]-code based on
  1. linear OA(413, 17, F4, 11) (dual of [17, 4, 12]-code), using projective code from ovoid in PG(3, 4) [i]
  2. linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-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(418, 22, F4, 14) (dual of [22, 4, 15]-code) [i]Truncation
2Linear OA(417, 21, F4, 13) (dual of [21, 4, 14]-code) [i]
3Linear OA(416, 20, F4, 12) (dual of [20, 4, 13]-code) [i]
4Linear OA(4158, 4119, F4, 31) (dual of [4119, 3961, 32]-code) [i](u, u+v)-Construction
5Linear OA(4181, 16407, F4, 31) (dual of [16407, 16226, 32]-code) [i]
6Linear OA(4204, 65559, F4, 31) (dual of [65559, 65355, 32]-code) [i]
7Linear OA(4227, 262167, F4, 31) (dual of [262167, 261940, 32]-code) [i]
8Linear OA(4250, 1048599, F4, 31) (dual of [1048599, 1048349, 32]-code) [i]
9Linear OA(4152, 4119, F4, 30) (dual of [4119, 3967, 31]-code) [i]
10Linear OA(4174, 16407, F4, 30) (dual of [16407, 16233, 31]-code) [i]
11Linear OA(4196, 65559, F4, 30) (dual of [65559, 65363, 31]-code) [i]
12Linear OA(4218, 262167, F4, 30) (dual of [262167, 261949, 31]-code) [i]
13Linear OA(4240, 1048599, F4, 30) (dual of [1048599, 1048359, 31]-code) [i]
14Linear OA(4104, 108, F4, 79) (dual of [108, 4, 80]-code) [i]Juxtaposition
15Linear OOA(284, 46, F2, 2, 47) (dual of [(46, 2), 8, 48]-NRT-code) [i]Concatenation of Two NRT-Codes
16Linear OOA(2130, 69, F2, 2, 79) (dual of [(69, 2), 8, 80]-NRT-code) [i]
17Linear OOA(2130, 46, F2, 3, 79) (dual of [(46, 3), 8, 80]-NRT-code) [i]
18Linear OOA(2199, 69, F2, 3, 127) (dual of [(69, 3), 8, 128]-NRT-code) [i]
19Linear OOA(419, 11, F4, 2, 15) (dual of [(11, 2), 3, 16]-NRT-code) [i]OOA Folding