Information on Result #2244659

Linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code), using 2 times truncation based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), 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(535, 52, F5, 19) (dual of [52, 17, 20]-code) [i](u, u+v)-Construction
2Linear OA(589, 3153, F5, 19) (dual of [3153, 3064, 20]-code) [i]
3Linear OA(5104, 15653, F5, 19) (dual of [15653, 15549, 20]-code) [i]
4Linear OA(5119, 78153, F5, 19) (dual of [78153, 78034, 20]-code) [i]
5Linear OA(5134, 390653, F5, 19) (dual of [390653, 390519, 20]-code) [i]
6Linear OA(5149, 1953153, F5, 19) (dual of [1953153, 1953004, 20]-code) [i]
7Linear OA(598, 15653, F5, 18) (dual of [15653, 15555, 19]-code) [i]
8Linear OA(5112, 78153, F5, 18) (dual of [78153, 78041, 19]-code) [i]
9Linear OA(5126, 390653, F5, 18) (dual of [390653, 390527, 19]-code) [i]
10Linear OA(5140, 1953153, F5, 18) (dual of [1953153, 1953013, 19]-code) [i]
11Linear OA(517, 34, F5, 9) (dual of [34, 17, 10]-code) [i]
12Linear OA(519, 56, F5, 9) (dual of [56, 37, 10]-code) [i]
13Linear OA(517, 36, F5, 9) (dual of [36, 19, 10]-code) [i]VarÅ¡amov–Edel Lengthening
14Linear OA(5124, 151, F5, 73) (dual of [151, 27, 74]-code) [i]Construction X with Cyclic Codes
15Linear OA(578, 150, F5, 33) (dual of [150, 72, 34]-code) [i]Construction XX with Cyclic Codes
16Linear OA(581, 150, F5, 34) (dual of [150, 69, 35]-code) [i]
17Linear OA(597, 157, F5, 43) (dual of [157, 60, 44]-code) [i]
18Linear OA(596, 155, F5, 43) (dual of [155, 59, 44]-code) [i]
19Linear OA(5102, 162, F5, 44) (dual of [162, 60, 45]-code) [i]
20Linear OA(5100, 159, F5, 44) (dual of [159, 59, 45]-code) [i]
21Linear OA(599, 155, F5, 44) (dual of [155, 56, 45]-code) [i]
22Linear OA(5105, 162, F5, 45) (dual of [162, 57, 46]-code) [i]
23Linear OA(5103, 159, F5, 45) (dual of [159, 56, 46]-code) [i]
24Linear OA(5109, 169, F5, 47) (dual of [169, 60, 48]-code) [i]
25Linear OA(5108, 167, F5, 47) (dual of [167, 59, 48]-code) [i]
26Linear OA(5106, 165, F5, 46) (dual of [165, 59, 47]-code) [i]
27Linear OA(5106, 162, F5, 47) (dual of [162, 56, 48]-code) [i]
28Linear OA(5104, 157, F5, 47) (dual of [157, 53, 48]-code) [i]
29Linear OA(5112, 171, F5, 48) (dual of [171, 59, 49]-code) [i]
30Linear OA(5109, 162, F5, 48) (dual of [162, 53, 49]-code) [i]
31Linear OA(5106, 157, F5, 48) (dual of [157, 51, 49]-code) [i]
32Linear OA(5127, 152, F5, 74) (dual of [152, 25, 75]-code) [i]
33Linear OA(5135, 160, F5, 78) (dual of [160, 25, 79]-code) [i]
34Linear OA(5140, 165, F5, 79) (dual of [165, 25, 80]-code) [i]
35Linear OA(5127, 150, F5, 74) (dual of [150, 23, 75]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
36Linear OA(581, 148, F5, 34) (dual of [148, 67, 35]-code) [i]
37Linear OA(578, 148, F5, 33) (dual of [148, 70, 34]-code) [i]
38Linear OA(575, 148, F5, 32) (dual of [148, 73, 33]-code) [i]
39Linear OA(574, 150, F5, 31) (dual of [150, 76, 32]-code) [i]
40Linear OA(581, 158, F5, 32) (dual of [158, 77, 33]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
41Linear OOA(513, 14, F5, 2, 9) (dual of [(14, 2), 15, 10]-NRT-code) [i]OOA Folding
42Linear OOA(513, 9, F5, 3, 9) (dual of [(9, 3), 14, 10]-NRT-code) [i]