Information on Result #604915

Linear OA(517, 18, F5, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,5)), using dual of repetition code with length 18

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(517, 18, F5, 16) (dual of [18, 1, 17]-code) [i]Strength Reduction
2Linear OA(517, 18, F5, 15) (dual of [18, 1, 16]-code) [i]
3Linear OA(5127, 642, F5, 35) (dual of [642, 515, 36]-code) [i](u, u+v)-Construction
4Linear OA(5124, 643, F5, 34) (dual of [643, 519, 35]-code) [i]
5Linear OA(532, 51, F5, 17) (dual of [51, 19, 18]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(564, 1071, F5, 17) (dual of [1071, 1007, 18]-code) [i]
7Linear OA(578, 4353, F5, 17) (dual of [4353, 4275, 18]-code) [i]
8Linear OA(5102, 144, F5, 35) (dual of [144, 42, 36]-code) [i]Construction X with Cyclic Codes
9Linear OA(5130, 644, F5, 35) (dual of [644, 514, 36]-code) [i]
10Linear OA(5130, 331, F5, 37) (dual of [331, 201, 38]-code) [i]
11Linear OA(5114, 390644, F5, 17) (dual of [390644, 390530, 18]-code) [i]Construction X4 with Cyclic Codes
12Linear OA(598, 390644, F5, 15) (dual of [390644, 390546, 16]-code) [i]
13Linear OA(582, 390644, F5, 13) (dual of [390644, 390562, 14]-code) [i]
14Linear OA(5106, 390643, F5, 16) (dual of [390643, 390537, 17]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
15Linear OA(590, 390643, F5, 14) (dual of [390643, 390553, 15]-code) [i]
16Linear OA(566, 390643, F5, 10) (dual of [390643, 390577, 11]-code) [i]
17Linear OA(558, 390643, F5, 9) (dual of [390643, 390585, 10]-code) [i]
18Linear OA(550, 390643, F5, 8) (dual of [390643, 390593, 9]-code) [i]