Information on Result #622398

Linear OA(1624, 38, F16, 21) (dual of [38, 14, 22]-code), using extended algebraic-geometric code AGe(F,16P) based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(16100, 114, F16, 65) (dual of [114, 14, 66]-code) [i]Repeating Each Code Word
2Linear OA(1696, 108, F16, 65) (dual of [108, 12, 66]-code) [i]
3Linear OA(1694, 105, F16, 65) (dual of [105, 11, 66]-code) [i]
4Linear OA(448, 76, F4, 21) (dual of [76, 28, 22]-code) [i]Trace Code
5Linear OA(1689, 103, F16, 67) (dual of [103, 14, 68]-code) [i]Juxtaposition
6Linear OA(1689, 102, F16, 68) (dual of [102, 13, 69]-code) [i]
7Linear OA(1689, 101, F16, 69) (dual of [101, 12, 70]-code) [i]
8Linear OA(1689, 100, F16, 70) (dual of [100, 11, 71]-code) [i]
9Linear OA(2134, 190, F2, 43) (dual of [190, 56, 44]-code) [i]Concatenation of Two Codes
10Linear OA(2133, 185, F2, 43) (dual of [185, 52, 44]-code) [i]
11Linear OA(2132, 180, F2, 43) (dual of [180, 48, 44]-code) [i]
12Linear OA(2248, 304, F2, 87) (dual of [304, 56, 88]-code) [i]
13Linear OA(2244, 296, F2, 87) (dual of [296, 52, 88]-code) [i]
14Linear OA(2240, 288, F2, 87) (dual of [288, 48, 88]-code) [i]
15Linear OA(486, 114, F4, 43) (dual of [114, 28, 44]-code) [i]
16Linear OA(485, 111, F4, 43) (dual of [111, 26, 44]-code) [i]
17Linear OA(484, 108, F4, 43) (dual of [108, 24, 44]-code) [i]
18Linear OA(483, 105, F4, 43) (dual of [105, 22, 44]-code) [i]
19Linear OA(4124, 152, F4, 65) (dual of [152, 28, 66]-code) [i]
20Linear OA(4122, 148, F4, 65) (dual of [148, 26, 66]-code) [i]
21Linear OA(4120, 144, F4, 65) (dual of [144, 24, 66]-code) [i]
22Linear OA(4118, 140, F4, 65) (dual of [140, 22, 66]-code) [i]
23Linear OA(4159, 185, F4, 87) (dual of [185, 26, 88]-code) [i]
24Linear OOA(2172, 114, F2, 2, 65) (dual of [(114, 2), 56, 66]-NRT-code) [i]Concatenation of Two NRT-Codes
25Linear OOA(2170, 111, F2, 2, 65) (dual of [(111, 2), 52, 66]-NRT-code) [i]
26Linear OOA(2168, 108, F2, 2, 65) (dual of [(108, 2), 48, 66]-NRT-code) [i]
27Linear OOA(2166, 105, F2, 2, 65) (dual of [(105, 2), 44, 66]-NRT-code) [i]
28Linear OOA(2172, 76, F2, 3, 65) (dual of [(76, 3), 56, 66]-NRT-code) [i]
29Linear OOA(2170, 74, F2, 3, 65) (dual of [(74, 3), 52, 66]-NRT-code) [i]
30Linear OOA(2168, 72, F2, 3, 65) (dual of [(72, 3), 48, 66]-NRT-code) [i]
31Linear OOA(2166, 70, F2, 3, 65) (dual of [(70, 3), 44, 66]-NRT-code) [i]
32Linear OOA(2248, 76, F2, 4, 109) (dual of [(76, 4), 56, 110]-NRT-code) [i]
33Linear OOA(2244, 74, F2, 4, 109) (dual of [(74, 4), 52, 110]-NRT-code) [i]
34Linear OOA(2240, 72, F2, 4, 109) (dual of [(72, 4), 48, 110]-NRT-code) [i]
35Linear OOA(2236, 70, F2, 4, 109) (dual of [(70, 4), 44, 110]-NRT-code) [i]
36Linear OOA(1624, 19, F16, 2, 21) (dual of [(19, 2), 14, 22]-NRT-code) [i]OOA Folding