Information on Result #606329

Linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using Reed–Solomon code RS(2,3)

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(355, 89, F3, 23) (dual of [89, 34, 24]-code) [i]Construction XX with Cyclic Codes
2Linear OA(354, 87, F3, 23) (dual of [87, 33, 24]-code) [i]
3Linear OA(391, 107, F3, 50) (dual of [107, 16, 51]-code) [i]Construction XX with a Chain of Cyclic Codes
4Linear OA(389, 105, F3, 50) (dual of [105, 16, 51]-code) [i]
5Linear OA(337, 45, F3, 23) (dual of [45, 8, 24]-code) [i]
6Linear OA(3247, 19697, F3, 41) (dual of [19697, 19450, 42]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
7Linear OA(3239, 19707, F3, 39) (dual of [19707, 19468, 40]-code) [i]
8Linear OA(3229, 19697, F3, 38) (dual of [19697, 19468, 39]-code) [i]
9Linear OA(3221, 19707, F3, 36) (dual of [19707, 19486, 37]-code) [i]
10Linear OA(3211, 19697, F3, 35) (dual of [19697, 19486, 36]-code) [i]
11Linear OA(3203, 19707, F3, 33) (dual of [19707, 19504, 34]-code) [i]
12Linear OA(3193, 19697, F3, 32) (dual of [19697, 19504, 33]-code) [i]
13Linear OA(3185, 19707, F3, 30) (dual of [19707, 19522, 31]-code) [i]
14Linear OA(3175, 19697, F3, 29) (dual of [19697, 19522, 30]-code) [i]
15Linear OA(3167, 19707, F3, 27) (dual of [19707, 19540, 28]-code) [i]
16Linear OA(3157, 19697, F3, 26) (dual of [19697, 19540, 27]-code) [i]
17Linear OA(3149, 19707, F3, 24) (dual of [19707, 19558, 25]-code) [i]
18Linear OA(3139, 19697, F3, 23) (dual of [19697, 19558, 24]-code) [i]
19Linear OA(3131, 19707, F3, 21) (dual of [19707, 19576, 22]-code) [i]
20Linear OA(3121, 19697, F3, 20) (dual of [19697, 19576, 21]-code) [i]
21Linear OA(3113, 19707, F3, 18) (dual of [19707, 19594, 19]-code) [i]
22Linear OA(3103, 19697, F3, 17) (dual of [19697, 19594, 18]-code) [i]
23Linear OA(385, 19697, F3, 14) (dual of [19697, 19612, 15]-code) [i]
24Linear OA(377, 19707, F3, 12) (dual of [19707, 19630, 13]-code) [i]
25Linear OA(367, 19697, F3, 11) (dual of [19697, 19630, 12]-code) [i]
26Linear OA(349, 19697, F3, 8) (dual of [19697, 19648, 9]-code) [i]
27Linear OA(3245, 6583, F3, 45) (dual of [6583, 6338, 46]-code) [i]
28Linear OA(3242, 6596, F3, 44) (dual of [6596, 6354, 45]-code) [i]
29Linear OA(3229, 6583, F3, 42) (dual of [6583, 6354, 43]-code) [i]
30Linear OA(3226, 6596, F3, 41) (dual of [6596, 6370, 42]-code) [i]
31Linear OA(3213, 6583, F3, 39) (dual of [6583, 6370, 40]-code) [i]
32Linear OA(3210, 6596, F3, 38) (dual of [6596, 6386, 39]-code) [i]
33Linear OA(3197, 6583, F3, 36) (dual of [6583, 6386, 37]-code) [i]
34Linear OA(3194, 6596, F3, 35) (dual of [6596, 6402, 36]-code) [i]
35Linear OA(3181, 6583, F3, 33) (dual of [6583, 6402, 34]-code) [i]
36Linear OA(3178, 6596, F3, 32) (dual of [6596, 6418, 33]-code) [i]
37Linear OA(3165, 6583, F3, 30) (dual of [6583, 6418, 31]-code) [i]
38Linear OA(3162, 6596, F3, 29) (dual of [6596, 6434, 30]-code) [i]
39Linear OA(3149, 6583, F3, 27) (dual of [6583, 6434, 28]-code) [i]
40Linear OA(3146, 6596, F3, 26) (dual of [6596, 6450, 27]-code) [i]
41Linear OA(3133, 6583, F3, 24) (dual of [6583, 6450, 25]-code) [i]
42Linear OA(3130, 6596, F3, 23) (dual of [6596, 6466, 24]-code) [i]
43Linear OA(3117, 6583, F3, 21) (dual of [6583, 6466, 22]-code) [i]
44Linear OA(3114, 6596, F3, 20) (dual of [6596, 6482, 21]-code) [i]
45Linear OA(3101, 6583, F3, 18) (dual of [6583, 6482, 19]-code) [i]
46Linear OA(398, 6596, F3, 17) (dual of [6596, 6498, 18]-code) [i]
47Linear OA(369, 6583, F3, 12) (dual of [6583, 6514, 13]-code) [i]
48Linear OA(3243, 2207, F3, 51) (dual of [2207, 1964, 52]-code) [i]
49Linear OA(3241, 2219, F3, 50) (dual of [2219, 1978, 51]-code) [i]
50Linear OA(3229, 2207, F3, 48) (dual of [2207, 1978, 49]-code) [i]
51Linear OA(3227, 2219, F3, 47) (dual of [2219, 1992, 48]-code) [i]
52Linear OA(3215, 2207, F3, 45) (dual of [2207, 1992, 46]-code) [i]
53Linear OA(3213, 2219, F3, 44) (dual of [2219, 2006, 45]-code) [i]
54Linear OA(3201, 2207, F3, 42) (dual of [2207, 2006, 43]-code) [i]
55Linear OA(3199, 2219, F3, 41) (dual of [2219, 2020, 42]-code) [i]
56Linear OA(3187, 2207, F3, 39) (dual of [2207, 2020, 40]-code) [i]
57Linear OA(3185, 2219, F3, 38) (dual of [2219, 2034, 39]-code) [i]
58Linear OA(3173, 2207, F3, 36) (dual of [2207, 2034, 37]-code) [i]
59Linear OA(3171, 2219, F3, 35) (dual of [2219, 2048, 36]-code) [i]
60Linear OA(3159, 2207, F3, 33) (dual of [2207, 2048, 34]-code) [i]
61Linear OA(3157, 2219, F3, 32) (dual of [2219, 2062, 33]-code) [i]
62Linear OA(3145, 2207, F3, 30) (dual of [2207, 2062, 31]-code) [i]
63Linear OA(3143, 2219, F3, 29) (dual of [2219, 2076, 30]-code) [i]
64Linear OA(3131, 2207, F3, 27) (dual of [2207, 2076, 28]-code) [i]
65Linear OA(3129, 2219, F3, 26) (dual of [2219, 2090, 27]-code) [i]
66Linear OA(3117, 2207, F3, 24) (dual of [2207, 2090, 25]-code) [i]
67Linear OA(3115, 2219, F3, 23) (dual of [2219, 2104, 24]-code) [i]
68Linear OA(3103, 2207, F3, 21) (dual of [2207, 2104, 22]-code) [i]
69Linear OA(3101, 2219, F3, 20) (dual of [2219, 2118, 21]-code) [i]
70Linear OA(389, 2207, F3, 18) (dual of [2207, 2118, 19]-code) [i]
71Linear OA(387, 2219, F3, 17) (dual of [2219, 2132, 18]-code) [i]
72Linear OA(361, 2207, F3, 12) (dual of [2207, 2146, 13]-code) [i]
73Linear OA(3250, 1114, F3, 54) (dual of [1114, 864, 55]-code) [i]
74Linear OA(3236, 1114, F3, 51) (dual of [1114, 878, 52]-code) [i]
75Linear OA(3222, 1114, F3, 48) (dual of [1114, 892, 49]-code) [i]
76Linear OA(3196, 1109, F3, 43) (dual of [1109, 913, 44]-code) [i]
77Linear OA(3194, 1107, F3, 42) (dual of [1107, 913, 43]-code) [i]
78Linear OA(3245, 747, F3, 63) (dual of [747, 502, 64]-code) [i]
79Linear OA(3233, 747, F3, 60) (dual of [747, 514, 61]-code) [i]
80Linear OA(3240, 769, F3, 59) (dual of [769, 529, 60]-code) [i]
81Linear OA(3228, 757, F3, 58) (dual of [757, 529, 59]-code) [i]
82Linear OA(3218, 747, F3, 54) (dual of [747, 529, 55]-code) [i]
83Linear OA(3206, 747, F3, 51) (dual of [747, 541, 52]-code) [i]
84Linear OA(3194, 747, F3, 48) (dual of [747, 553, 49]-code) [i]
85Linear OA(3182, 747, F3, 45) (dual of [747, 565, 46]-code) [i]
86Linear OA(3170, 747, F3, 42) (dual of [747, 577, 43]-code) [i]
87Linear OA(3158, 747, F3, 39) (dual of [747, 589, 40]-code) [i]
88Linear OA(3146, 747, F3, 36) (dual of [747, 601, 37]-code) [i]
89Linear OA(3134, 747, F3, 33) (dual of [747, 613, 34]-code) [i]
90Linear OA(3143, 765, F3, 34) (dual of [765, 622, 35]-code) [i]
91Linear OA(3141, 763, F3, 33) (dual of [763, 622, 34]-code) [i]
92Linear OA(3122, 744, F3, 30) (dual of [744, 622, 31]-code) [i]
93Linear OA(3131, 765, F3, 31) (dual of [765, 634, 32]-code) [i]
94Linear OA(3129, 763, F3, 30) (dual of [763, 634, 31]-code) [i]
95Linear OA(3113, 747, F3, 27) (dual of [747, 634, 28]-code) [i]
96Linear OA(3101, 747, F3, 24) (dual of [747, 646, 25]-code) [i]
97Linear OA(389, 747, F3, 21) (dual of [747, 658, 22]-code) [i]
98Linear OA(377, 747, F3, 18) (dual of [747, 670, 19]-code) [i]
99Linear OA(365, 747, F3, 15) (dual of [747, 682, 16]-code) [i]
100Linear OA(353, 747, F3, 12) (dual of [747, 694, 13]-code) [i]
101Linear OA(3130, 259, F3, 42) (dual of [259, 129, 43]-code) [i]
102Linear OA(3127, 271, F3, 40) (dual of [271, 144, 41]-code) [i]
103Linear OA(3115, 259, F3, 36) (dual of [259, 144, 37]-code) [i]
104Linear OA(3119, 283, F3, 33) (dual of [283, 164, 34]-code) [i]
105Linear OA(395, 259, F3, 27) (dual of [259, 164, 28]-code) [i]
106Linear OA(3104, 278, F3, 28) (dual of [278, 174, 29]-code) [i]
107Linear OA(3102, 276, F3, 27) (dual of [276, 174, 28]-code) [i]
108Linear OA(385, 259, F3, 24) (dual of [259, 174, 25]-code) [i]
109Linear OA(392, 276, F3, 24) (dual of [276, 184, 25]-code) [i]
110Linear OA(375, 259, F3, 21) (dual of [259, 184, 22]-code) [i]
111Linear OA(365, 259, F3, 18) (dual of [259, 194, 19]-code) [i]
112Linear OA(355, 259, F3, 15) (dual of [259, 204, 16]-code) [i]
113Linear OA(345, 259, F3, 12) (dual of [259, 214, 13]-code) [i]
114Linear OA(345, 97, F3, 16) (dual of [97, 52, 17]-code) [i]
115Linear OA(335, 93, F3, 12) (dual of [93, 58, 13]-code) [i]