Information on Result #612154

Linear OA(3101, 243, F3, 34) (dual of [243, 142, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34

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(3118, 261, F3, 34) (dual of [261, 143, 35]-code) [i](u, u+v)-Construction
2Linear OA(3109, 267, F3, 34) (dual of [267, 158, 35]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(3110, 274, F3, 34) (dual of [274, 164, 35]-code) [i]
4Linear OA(3111, 282, F3, 34) (dual of [282, 171, 35]-code) [i]
5Linear OA(3112, 291, F3, 34) (dual of [291, 179, 35]-code) [i]
6Linear OA(3113, 300, F3, 34) (dual of [300, 187, 35]-code) [i]
7Linear OA(3106, 248, F3, 35) (dual of [248, 142, 36]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(3102, 249, F3, 34) (dual of [249, 147, 35]-code) [i]✔
9Linear OA(3112, 254, F3, 36) (dual of [254, 142, 37]-code) [i]✔
10Linear OA(3115, 253, F3, 38) (dual of [253, 138, 39]-code) [i]✔
11Linear OA(3116, 258, F3, 38) (dual of [258, 142, 39]-code) [i]✔
12Linear OA(3114, 256, F3, 37) (dual of [256, 142, 38]-code) [i]✔
13Linear OA(3102, 254, F3, 33) (dual of [254, 152, 34]-code) [i]✔
14Linear OA(3104, 256, F3, 34) (dual of [256, 152, 35]-code) [i]✔
15Linear OA(3124, 266, F3, 40) (dual of [266, 142, 41]-code) [i]✔
16Linear OA(3112, 266, F3, 34) (dual of [266, 154, 35]-code) [i]✔
17Linear OA(3114, 271, F3, 34) (dual of [271, 157, 35]-code) [i]✔
18Linear OA(3135, 277, F3, 41) (dual of [277, 142, 42]-code) [i]✔
19Linear OA(3118, 279, F3, 34) (dual of [279, 161, 35]-code) [i]✔
20Linear OA(3119, 281, F3, 34) (dual of [281, 162, 35]-code) [i]✔
21Linear OA(3116, 278, F3, 33) (dual of [278, 162, 34]-code) [i]✔
22Linear OA(3134, 276, F3, 41) (dual of [276, 142, 42]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
23Linear OA(3133, 274, F3, 41) (dual of [274, 141, 42]-code) [i]✔
24Linear OA(3132, 272, F3, 41) (dual of [272, 140, 42]-code) [i]✔
25Linear OA(3131, 270, F3, 41) (dual of [270, 139, 42]-code) [i]✔
26Linear OA(3130, 268, F3, 41) (dual of [268, 138, 42]-code) [i]✔
27Linear OA(3122, 260, F3, 39) (dual of [260, 138, 40]-code) [i]✔
28Linear OA(3130, 277, F3, 40) (dual of [277, 147, 41]-code) [i]✔
29Linear OA(3129, 275, F3, 40) (dual of [275, 146, 41]-code) [i]✔
30Linear OA(3128, 273, F3, 40) (dual of [273, 145, 41]-code) [i]✔
31Linear OA(3127, 271, F3, 40) (dual of [271, 144, 41]-code) [i]✔
32Linear OA(3126, 269, F3, 40) (dual of [269, 143, 41]-code) [i]✔
33Linear OA(3113, 251, F3, 37) (dual of [251, 138, 38]-code) [i]✔
34Linear OA(3115, 259, F3, 36) (dual of [259, 144, 37]-code) [i]✔
35Linear OA(3118, 261, F3, 38) (dual of [261, 143, 39]-code) [i]✔
36Linear OA(3114, 257, F3, 36) (dual of [257, 143, 37]-code) [i]✔
37Linear OA(3108, 251, F3, 35) (dual of [251, 143, 36]-code) [i]✔
38Linear OA(3103, 251, F3, 34) (dual of [251, 148, 35]-code) [i]✔
39Linear OA(3112, 269, F3, 33) (dual of [269, 157, 34]-code) [i]✔
40Linear OA(3111, 267, F3, 33) (dual of [267, 156, 34]-code) [i]✔
41Linear OA(3113, 268, F3, 34) (dual of [268, 155, 35]-code) [i]✔
42Linear OA(3110, 265, F3, 33) (dual of [265, 155, 34]-code) [i]✔
43Linear OA(3109, 263, F3, 33) (dual of [263, 154, 34]-code) [i]✔
44Linear OA(3110, 263, F3, 34) (dual of [263, 153, 35]-code) [i]✔
45Linear OA(3107, 260, F3, 33) (dual of [260, 153, 34]-code) [i]✔
46Linear OA(3117, 275, F3, 34) (dual of [275, 158, 35]-code) [i]✔
47Linear OA(3114, 272, F3, 33) (dual of [272, 158, 34]-code) [i]✔
48Linear OA(3119, 283, F3, 33) (dual of [283, 164, 34]-code) [i]✔
49Linear OA(3118, 281, F3, 33) (dual of [281, 163, 34]-code) [i]✔
50Linear OOA(3101, 81, F3, 3, 34) (dual of [(81, 3), 142, 35]-NRT-code) [i]OOA Folding