Information on Result #717623

Linear OA(917, 80, F9, 10) (dual of [80, 63, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(929, 92, F9, 15) (dual of [92, 63, 16]-code) [i]Construction XX with Cyclic Codes
2Linear OA(9138, 59111, F9, 28) (dual of [59111, 58973, 29]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(9148, 59116, F9, 30) (dual of [59116, 58968, 31]-code) [i]
4Linear OA(9133, 59116, F9, 26) (dual of [59116, 58983, 27]-code) [i]
5Linear OA(9128, 59116, F9, 25) (dual of [59116, 58988, 26]-code) [i]
6Linear OA(9123, 59116, F9, 24) (dual of [59116, 58993, 25]-code) [i]
7Linear OA(9118, 59116, F9, 23) (dual of [59116, 58998, 24]-code) [i]
8Linear OA(9113, 59116, F9, 22) (dual of [59116, 59003, 23]-code) [i]
9Linear OA(9138, 773, F9, 46) (dual of [773, 635, 47]-code) [i]
10Linear OA(9114, 773, F9, 37) (dual of [773, 659, 38]-code) [i]
11Linear OA(990, 773, F9, 28) (dual of [773, 683, 29]-code) [i]
12Linear OA(9147, 776, F9, 49) (dual of [776, 629, 50]-code) [i]
13Linear OA(9144, 776, F9, 48) (dual of [776, 632, 49]-code) [i]
14Linear OA(9135, 776, F9, 44) (dual of [776, 641, 45]-code) [i]
15Linear OA(9132, 776, F9, 43) (dual of [776, 644, 44]-code) [i]
16Linear OA(9129, 776, F9, 42) (dual of [776, 647, 43]-code) [i]
17Linear OA(9126, 776, F9, 41) (dual of [776, 650, 42]-code) [i]
18Linear OA(9123, 776, F9, 40) (dual of [776, 653, 41]-code) [i]
19Linear OA(9120, 776, F9, 39) (dual of [776, 656, 40]-code) [i]
20Linear OA(9111, 776, F9, 35) (dual of [776, 665, 36]-code) [i]
21Linear OA(9108, 776, F9, 34) (dual of [776, 668, 35]-code) [i]
22Linear OA(9105, 776, F9, 33) (dual of [776, 671, 34]-code) [i]
23Linear OA(9102, 776, F9, 32) (dual of [776, 674, 33]-code) [i]
24Linear OA(999, 776, F9, 31) (dual of [776, 677, 32]-code) [i]
25Linear OA(996, 776, F9, 30) (dual of [776, 680, 31]-code) [i]
26Linear OA(987, 776, F9, 26) (dual of [776, 689, 27]-code) [i]
27Linear OA(984, 776, F9, 25) (dual of [776, 692, 26]-code) [i]
28Linear OOA(917, 40, F9, 2, 10) (dual of [(40, 2), 63, 11]-NRT-code) [i]OOA Folding