Information on Result #615692

Linear OA(933, 82, F9, 21) (dual of [82, 49, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)

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(933, 82, F9, 20) (dual of [82, 49, 21]-code) [i]Strength Reduction
2Linear OA(934, 83, F9, 21) (dual of [83, 49, 22]-code) [i]Code Embedding in Larger Space
3Linear OA(930, 79, F9, 18) (dual of [79, 49, 19]-code) [i]Truncation
4Linear OA(929, 78, F9, 17) (dual of [78, 49, 18]-code) [i]
5Linear OA(366, 164, F3, 21) (dual of [164, 98, 22]-code) [i]Trace Code
6Linear OA(940, 98, F9, 21) (dual of [98, 58, 22]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OA(941, 106, F9, 21) (dual of [106, 65, 22]-code) [i]
8Linear OA(942, 92, F9, 21) (dual of [92, 50, 22]-code) [i]✔Construction X with Cyclic Codes
9Linear OA(938, 87, F9, 23) (dual of [87, 49, 24]-code) [i]✔
10Linear OA(938, 91, F9, 21) (dual of [91, 53, 22]-code) [i]✔
11Linear OA(944, 92, F9, 25) (dual of [92, 48, 26]-code) [i]✔
12Linear OA(945, 94, F9, 25) (dual of [94, 49, 26]-code) [i]✔
13Linear OA(943, 92, F9, 24) (dual of [92, 49, 25]-code) [i]✔
14Linear OA(941, 98, F9, 21) (dual of [98, 57, 22]-code) [i]✔
15Linear OA(951, 98, F9, 27) (dual of [98, 47, 28]-code) [i]✔
16Linear OA(952, 101, F9, 27) (dual of [101, 49, 28]-code) [i]✔
17Linear OA(950, 98, F9, 26) (dual of [98, 48, 27]-code) [i]✔
18Linear OA(944, 94, F9, 23) (dual of [94, 50, 24]-code) [i]✔Construction XX with a Chain of Cyclic Codes
19Linear OA(940, 94, F9, 21) (dual of [94, 54, 22]-code) [i]✔
20Linear OOA(933, 41, F9, 2, 21) (dual of [(41, 2), 49, 22]-NRT-code) [i]OOA Folding