Information on Result #609430

Linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using Simplex code S(2,9)

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(9148, 150, F9, 134) (dual of [150, 2, 135]-code) [i]Repeating Each Code Word
2Linear OA(9138, 140, F9, 125) (dual of [140, 2, 126]-code) [i]
3Linear OA(9128, 130, F9, 116) (dual of [130, 2, 117]-code) [i]
4Linear OA(9118, 120, F9, 107) (dual of [120, 2, 108]-code) [i]
5Linear OA(9108, 110, F9, 98) (dual of [110, 2, 99]-code) [i]
6Linear OA(998, 100, F9, 89) (dual of [100, 2, 90]-code) [i]
7Linear OA(968, 70, F9, 62) (dual of [70, 2, 63]-code) [i]
8Linear OA(958, 60, F9, 53) (dual of [60, 2, 54]-code) [i]
9Linear OA(948, 50, F9, 44) (dual of [50, 2, 45]-code) [i]
10Linear OA(938, 40, F9, 35) (dual of [40, 2, 36]-code) [i]
11Linear OA(928, 30, F9, 26) (dual of [30, 2, 27]-code) [i]
12Linear OA(918, 20, F9, 17) (dual of [20, 2, 18]-code) [i]
13Linear OA(954, 739, F9, 17) (dual of [739, 685, 18]-code) [i](u, u+v)-Construction
14Linear OA(974, 13134, F9, 17) (dual of [13134, 13060, 18]-code) [i]
15Linear OA(984, 59059, F9, 17) (dual of [59059, 58975, 18]-code) [i]
16Linear OA(9114, 4782979, F9, 17) (dual of [4782979, 4782865, 18]-code) [i]
17Linear OA(951, 739, F9, 16) (dual of [739, 688, 17]-code) [i]
18Linear OA(970, 13132, F9, 16) (dual of [13132, 13062, 17]-code) [i]
19Linear OA(979, 59059, F9, 16) (dual of [59059, 58980, 17]-code) [i]
20Linear OA(9107, 4782979, F9, 16) (dual of [4782979, 4782872, 17]-code) [i]
21Linear OA(981, 90, F9, 62) (dual of [90, 9, 63]-code) [i]Generalized (u, u+v)-Construction
22Linear OA(986, 96, F9, 62) (dual of [96, 10, 63]-code) [i]
23Linear OA(976, 90, F9, 53) (dual of [90, 14, 54]-code) [i]
24Linear OA(980, 95, F9, 53) (dual of [95, 15, 54]-code) [i]
25Linear OOA(356, 30, F3, 2, 44) (dual of [(30, 2), 4, 45]-NRT-code) [i]Concatenation of Two NRT-Codes
26Linear OOA(376, 40, F3, 2, 62) (dual of [(40, 2), 4, 63]-NRT-code) [i]
27Linear OOA(3116, 40, F3, 3, 98) (dual of [(40, 3), 4, 99]-NRT-code) [i]
28Linear OOA(3206, 70, F3, 3, 170) (dual of [(70, 3), 4, 171]-NRT-code) [i]
29Linear OA(988, 749, F9, 26) (dual of [749, 661, 27]-code) [i](u, u−v, u+v+w)-Construction
30Linear OA(9134, 59069, F9, 26) (dual of [59069, 58935, 27]-code) [i]
31Linear OA(9129, 59070, F9, 25) (dual of [59070, 58941, 26]-code) [i]
32Linear OA(9131, 59073, F9, 25) (dual of [59073, 58942, 26]-code) [i]
33Linear OA(9124, 59069, F9, 24) (dual of [59069, 58945, 25]-code) [i]
34Linear OA(9126, 59072, F9, 24) (dual of [59072, 58946, 25]-code) [i]
35Linear OA(959, 749, F9, 17) (dual of [749, 690, 18]-code) [i]
36Linear OA(989, 59069, F9, 17) (dual of [59069, 58980, 18]-code) [i]
37Linear OA(9119, 4782989, F9, 17) (dual of [4782989, 4782870, 18]-code) [i]
38Linear OA(984, 59069, F9, 16) (dual of [59069, 58985, 17]-code) [i]
39Linear OA(9112, 4782989, F9, 16) (dual of [4782989, 4782877, 17]-code) [i]
40Linear OA(928, 2776, F9, 8) (dual of [2776, 2748, 9]-code) [i]VarÅ¡amov–Edel Lengthening
41Linear OA(987, 101, F9, 59) (dual of [101, 14, 60]-code) [i]Construction X with Cyclic Codes
42Linear OA(990, 100, F9, 67) (dual of [100, 10, 68]-code) [i]Construction XX with Cyclic Codes
43Linear OA(9108, 118, F9, 79) (dual of [118, 10, 80]-code) [i]
44Linear OA(9100, 110, F9, 72) (dual of [110, 10, 73]-code) [i]
45Linear OA(973, 100, F9, 43) (dual of [100, 27, 44]-code) [i]Construction XX with a Chain of Cyclic Codes
46Linear OA(996, 101, F9, 80) (dual of [101, 5, 81]-code) [i]Construction X with De Boer–Brouwer Codes
47Linear OA(9131, 141, F9, 100) (dual of [141, 10, 101]-code) [i]Construction X with VarÅ¡amov Bound
48Linear OA(9132, 142, F9, 101) (dual of [142, 10, 102]-code) [i]