Information on Result #717609

Linear OA(918, 80, F9, 11) (dual of [80, 62, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12

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(9139, 59118, F9, 27) (dual of [59118, 58979, 28]-code) [i]Construction X with Cyclic Codes
2Linear OA(9129, 59118, F9, 25) (dual of [59118, 58989, 26]-code) [i]
3Linear OA(9139, 778, F9, 45) (dual of [778, 639, 46]-code) [i]
4Linear OA(9133, 778, F9, 43) (dual of [778, 645, 44]-code) [i]
5Linear OA(9127, 778, F9, 41) (dual of [778, 651, 42]-code) [i]
6Linear OA(9121, 778, F9, 39) (dual of [778, 657, 40]-code) [i]
7Linear OA(9115, 778, F9, 37) (dual of [778, 663, 38]-code) [i]
8Linear OA(991, 778, F9, 27) (dual of [778, 687, 28]-code) [i]
9Linear OA(9115, 784, F9, 35) (dual of [784, 669, 36]-code) [i]
10Linear OA(9109, 784, F9, 33) (dual of [784, 675, 34]-code) [i]
11Linear OA(9103, 784, F9, 31) (dual of [784, 681, 32]-code) [i]
12Linear OA(923, 90, F9, 12) (dual of [90, 67, 13]-code) [i]✔Construction XX with Cyclic Codes
13Linear OA(922, 87, F9, 12) (dual of [87, 65, 13]-code) [i]✔
14Linear OA(922, 84, F9, 13) (dual of [84, 62, 14]-code) [i]✔
15Linear OA(925, 87, F9, 14) (dual of [87, 62, 15]-code) [i]✔
16Linear OA(928, 90, F9, 15) (dual of [90, 62, 16]-code) [i]✔
17Linear OA(931, 92, F9, 16) (dual of [92, 61, 17]-code) [i]✔
18Linear OA(931, 93, F9, 16) (dual of [93, 62, 17]-code) [i]✔
19Linear OA(9144, 59117, F9, 29) (dual of [59117, 58973, 30]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
20Linear OA(9139, 59117, F9, 28) (dual of [59117, 58978, 29]-code) [i]
21Linear OA(9139, 59122, F9, 27) (dual of [59122, 58983, 28]-code) [i]
22Linear OA(9134, 59122, F9, 26) (dual of [59122, 58988, 27]-code) [i]
23Linear OA(9129, 59122, F9, 25) (dual of [59122, 58993, 26]-code) [i]
24Linear OA(9124, 59122, F9, 24) (dual of [59122, 58998, 25]-code) [i]
25Linear OA(9142, 777, F9, 47) (dual of [777, 635, 48]-code) [i]
26Linear OA(9139, 777, F9, 46) (dual of [777, 638, 47]-code) [i]
27Linear OA(9118, 777, F9, 38) (dual of [777, 659, 39]-code) [i]
28Linear OA(994, 777, F9, 29) (dual of [777, 683, 30]-code) [i]
29Linear OA(991, 777, F9, 28) (dual of [777, 686, 29]-code) [i]
30Linear OA(9148, 780, F9, 49) (dual of [780, 632, 50]-code) [i]
31Linear OA(9139, 780, F9, 45) (dual of [780, 641, 46]-code) [i]
32Linear OA(9136, 780, F9, 44) (dual of [780, 644, 45]-code) [i]
33Linear OA(9133, 780, F9, 43) (dual of [780, 647, 44]-code) [i]
34Linear OA(9130, 780, F9, 42) (dual of [780, 650, 43]-code) [i]
35Linear OA(9127, 780, F9, 41) (dual of [780, 653, 42]-code) [i]
36Linear OA(9124, 780, F9, 40) (dual of [780, 656, 41]-code) [i]
37Linear OA(9115, 780, F9, 36) (dual of [780, 665, 37]-code) [i]
38Linear OA(9112, 780, F9, 35) (dual of [780, 668, 36]-code) [i]
39Linear OA(9109, 780, F9, 34) (dual of [780, 671, 35]-code) [i]
40Linear OA(9106, 780, F9, 33) (dual of [780, 674, 34]-code) [i]
41Linear OA(9103, 780, F9, 32) (dual of [780, 677, 33]-code) [i]
42Linear OA(9100, 780, F9, 31) (dual of [780, 680, 32]-code) [i]
43Linear OA(991, 780, F9, 27) (dual of [780, 689, 28]-code) [i]
44Linear OA(988, 780, F9, 26) (dual of [780, 692, 27]-code) [i]