Information on Result #615155

Linear OA(849, 65, F8, 37) (dual of [65, 16, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(849, 65, F8, 36) (dual of [65, 16, 37]-code) [i]Strength Reduction
2Linear OA(849, 65, F8, 35) (dual of [65, 16, 36]-code) [i]
3Linear OA(850, 66, F8, 37) (dual of [66, 16, 38]-code) [i]Code Embedding in Larger Space
4Linear OA(846, 62, F8, 34) (dual of [62, 16, 35]-code) [i]Truncation
5Linear OA(845, 61, F8, 33) (dual of [61, 16, 34]-code) [i]
6Linear OA(844, 60, F8, 32) (dual of [60, 16, 33]-code) [i]
7Linear OA(843, 59, F8, 31) (dual of [59, 16, 32]-code) [i]
8Linear OA(842, 58, F8, 30) (dual of [58, 16, 31]-code) [i]
9Linear OA(841, 57, F8, 29) (dual of [57, 16, 30]-code) [i]
10Linear OA(8114, 130, F8, 75) (dual of [130, 16, 76]-code) [i]Repeating Each Code Word
11Linear OA(2212, 260, F2, 75) (dual of [260, 48, 76]-code) [i]Concatenation of Two Codes
12Linear OA(861, 78, F8, 37) (dual of [78, 17, 38]-code) [i]✔Construction X with Cyclic Codes
13Linear OA(854, 70, F8, 39) (dual of [70, 16, 40]-code) [i]✔
14Linear OA(886, 102, F8, 55) (dual of [102, 16, 56]-code) [i]✔
15Linear OA(884, 99, F8, 54) (dual of [99, 15, 55]-code) [i]✔
16Linear OA(883, 99, F8, 53) (dual of [99, 16, 54]-code) [i]✔
17Linear OA(880, 96, F8, 51) (dual of [96, 16, 52]-code) [i]✔
18Linear OA(876, 92, F8, 49) (dual of [92, 16, 50]-code) [i]✔
19Linear OA(864, 92, F8, 35) (dual of [92, 28, 36]-code) [i]✔
20Linear OA(881, 95, F8, 53) (dual of [95, 14, 54]-code) [i]✔Construction XX with a Chain of Cyclic Codes