Information on Result #612088
Linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(391, 243, F3, 30) (dual of [243, 152, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(391, 243, F3, 29) (dual of [243, 152, 30]-code) | [i] | ||
| 3 | Linear OA(391, 243, F3, 28) (dual of [243, 152, 29]-code) | [i] | ||
| 4 | Linear OA(392, 244, F3, 31) (dual of [244, 152, 32]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(393, 245, F3, 31) (dual of [245, 152, 32]-code) | [i] | ||
| 6 | Linear OA(394, 246, F3, 31) (dual of [246, 152, 32]-code) | [i] | ||
| 7 | Linear OA(389, 241, F3, 29) (dual of [241, 152, 30]-code) | [i] | Truncation | |
| 8 | Linear OA(388, 240, F3, 28) (dual of [240, 152, 29]-code) | [i] | ||
| 9 | Linear OA(387, 239, F3, 27) (dual of [239, 152, 28]-code) | [i] | ||
| 10 | Linear OA(3106, 259, F3, 31) (dual of [259, 153, 32]-code) | [i] | (u, u+v)-Construction | |
| 11 | Linear OA(3101, 267, F3, 31) (dual of [267, 166, 32]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(3102, 273, F3, 31) (dual of [273, 171, 32]-code) | [i] | ||
| 13 | Linear OA(3103, 280, F3, 31) (dual of [280, 177, 32]-code) | [i] | ||
| 14 | Linear OA(3104, 289, F3, 31) (dual of [289, 185, 32]-code) | [i] | ||
| 15 | Linear OA(3105, 298, F3, 31) (dual of [298, 193, 32]-code) | [i] | ||
| 16 | Linear OA(3106, 308, F3, 31) (dual of [308, 202, 32]-code) | [i] | ||
| 17 | Linear OA(396, 248, F3, 32) (dual of [248, 152, 33]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(392, 249, F3, 28) (dual of [249, 157, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(395, 248, F3, 31) (dual of [248, 153, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(396, 253, F3, 31) (dual of [253, 157, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(393, 247, F3, 29) (dual of [247, 154, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(3102, 254, F3, 33) (dual of [254, 152, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(3104, 256, F3, 34) (dual of [256, 152, 35]-code) | [i] | ✔ | |
| 24 | Linear OA(397, 255, F3, 31) (dual of [255, 158, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(398, 257, F3, 31) (dual of [257, 159, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(399, 261, F3, 31) (dual of [261, 162, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(397, 257, F3, 30) (dual of [257, 160, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(396, 258, F3, 29) (dual of [258, 162, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(394, 256, F3, 28) (dual of [256, 162, 29]-code) | [i] | ✔ | |
| 30 | Linear OA(3111, 263, F3, 35) (dual of [263, 152, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(3102, 266, F3, 31) (dual of [266, 164, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(3104, 271, F3, 31) (dual of [271, 167, 32]-code) | [i] | ✔ | |
| 33 | Linear OA(399, 266, F3, 29) (dual of [266, 167, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(396, 263, F3, 27) (dual of [263, 167, 28]-code) | [i] | ✔ | |
| 35 | Linear OA(3125, 277, F3, 38) (dual of [277, 152, 39]-code) | [i] | ✔ | |
| 36 | Linear OA(3119, 271, F3, 37) (dual of [271, 152, 38]-code) | [i] | ✔ | |
| 37 | Linear OA(3108, 279, F3, 31) (dual of [279, 171, 32]-code) | [i] | ✔ | |
| 38 | Linear OA(3106, 278, F3, 30) (dual of [278, 172, 31]-code) | [i] | ✔ | |
| 39 | Linear OA(399, 271, F3, 28) (dual of [271, 172, 29]-code) | [i] | ✔ | |
| 40 | Linear OA(3134, 285, F3, 40) (dual of [285, 151, 41]-code) | [i] | ✔ | |
| 41 | Linear OA(3135, 287, F3, 40) (dual of [287, 152, 41]-code) | [i] | ✔ | |
| 42 | Linear OA(3131, 283, F3, 39) (dual of [283, 152, 40]-code) | [i] | ✔ | |
| 43 | Linear OA(3102, 269, F3, 30) (dual of [269, 167, 31]-code) | [i] | ✔ | |
| 44 | Linear OA(3123, 275, F3, 38) (dual of [275, 152, 39]-code) | [i] | ✔ | |
| 45 | Linear OA(3104, 272, F3, 30) (dual of [272, 168, 31]-code) | [i] | ✔ | |
| 46 | Linear OA(3105, 277, F3, 30) (dual of [277, 172, 31]-code) | [i] | ✔ | |
| 47 | Linear OA(3103, 275, F3, 29) (dual of [275, 172, 30]-code) | [i] | ✔ | |
| 48 | Linear OA(3133, 282, F3, 40) (dual of [282, 149, 41]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 49 | Linear OA(3132, 280, F3, 40) (dual of [280, 148, 41]-code) | [i] | ✔ | |
| 50 | Linear OA(3124, 276, F3, 38) (dual of [276, 152, 39]-code) | [i] | ✔ | |
| 51 | Linear OA(3123, 274, F3, 38) (dual of [274, 151, 39]-code) | [i] | ✔ | |
| 52 | Linear OA(3122, 272, F3, 38) (dual of [272, 150, 39]-code) | [i] | ✔ | |
| 53 | Linear OA(3121, 270, F3, 38) (dual of [270, 149, 39]-code) | [i] | ✔ | |
| 54 | Linear OA(3120, 268, F3, 38) (dual of [268, 148, 39]-code) | [i] | ✔ | |
| 55 | Linear OA(3127, 282, F3, 36) (dual of [282, 155, 37]-code) | [i] | ✔ | |
| 56 | Linear OA(3128, 282, F3, 37) (dual of [282, 154, 38]-code) | [i] | ✔ | |
| 57 | Linear OA(3126, 280, F3, 36) (dual of [280, 154, 37]-code) | [i] | ✔ | |
| 58 | Linear OA(3130, 283, F3, 38) (dual of [283, 153, 39]-code) | [i] | ✔ | |
| 59 | Linear OA(3126, 279, F3, 37) (dual of [279, 153, 38]-code) | [i] | ✔ | |
| 60 | Linear OA(3124, 277, F3, 36) (dual of [277, 153, 37]-code) | [i] | ✔ | |
| 61 | Linear OA(3122, 275, F3, 35) (dual of [275, 153, 36]-code) | [i] | ✔ | |
| 62 | Linear OA(3122, 279, F3, 35) (dual of [279, 157, 36]-code) | [i] | ✔ | |
| 63 | Linear OA(3121, 277, F3, 35) (dual of [277, 156, 36]-code) | [i] | ✔ | |
| 64 | Linear OA(3120, 275, F3, 35) (dual of [275, 155, 36]-code) | [i] | ✔ | |
| 65 | Linear OA(3118, 272, F3, 35) (dual of [272, 154, 36]-code) | [i] | ✔ | |
| 66 | Linear OA(3117, 270, F3, 35) (dual of [270, 153, 36]-code) | [i] | ✔ | |
| 67 | Linear OA(3124, 282, F3, 35) (dual of [282, 158, 36]-code) | [i] | ✔ | |
| 68 | Linear OA(3103, 251, F3, 34) (dual of [251, 148, 35]-code) | [i] | ✔ | |
| 69 | Linear OA(3112, 269, F3, 33) (dual of [269, 157, 34]-code) | [i] | ✔ | |
| 70 | Linear OA(3111, 267, F3, 33) (dual of [267, 156, 34]-code) | [i] | ✔ | |
| 71 | Linear OA(3113, 268, F3, 34) (dual of [268, 155, 35]-code) | [i] | ✔ | |
| 72 | Linear OA(3110, 265, F3, 33) (dual of [265, 155, 34]-code) | [i] | ✔ | |
| 73 | Linear OA(3109, 263, F3, 33) (dual of [263, 154, 34]-code) | [i] | ✔ | |
| 74 | Linear OA(3110, 263, F3, 34) (dual of [263, 153, 35]-code) | [i] | ✔ | |
| 75 | Linear OA(3107, 260, F3, 33) (dual of [260, 153, 34]-code) | [i] | ✔ | |
| 76 | Linear OA(3117, 275, F3, 34) (dual of [275, 158, 35]-code) | [i] | ✔ | |
| 77 | Linear OA(3114, 272, F3, 33) (dual of [272, 158, 34]-code) | [i] | ✔ | |
| 78 | Linear OA(3101, 254, F3, 32) (dual of [254, 153, 33]-code) | [i] | ✔ | |
| 79 | Linear OA(393, 251, F3, 28) (dual of [251, 158, 29]-code) | [i] | ✔ | |
| 80 | Linear OA(3103, 268, F3, 31) (dual of [268, 165, 32]-code) | [i] | ✔ | |
| 81 | Linear OA(395, 259, F3, 27) (dual of [259, 164, 28]-code) | [i] | ✔ | |
| 82 | Linear OA(3101, 264, F3, 31) (dual of [264, 163, 32]-code) | [i] | ✔ | |
| 83 | Linear OA(398, 261, F3, 29) (dual of [261, 163, 30]-code) | [i] | ✔ | |
| 84 | Linear OA(3104, 276, F3, 29) (dual of [276, 172, 30]-code) | [i] | ✔ | |
| 85 | Linear OA(3103, 274, F3, 29) (dual of [274, 171, 30]-code) | [i] | ✔ | |
| 86 | Linear OA(3102, 272, F3, 29) (dual of [272, 170, 30]-code) | [i] | ✔ | |
| 87 | Linear OA(3101, 270, F3, 29) (dual of [270, 169, 30]-code) | [i] | ✔ | |
| 88 | Linear OA(3107, 275, F3, 31) (dual of [275, 168, 32]-code) | [i] | ✔ | |
| 89 | Linear OA(3100, 268, F3, 29) (dual of [268, 168, 30]-code) | [i] | ✔ | |
| 90 | Linear OA(3104, 278, F3, 28) (dual of [278, 174, 29]-code) | [i] | ✔ | |
| 91 | Linear OA(3102, 276, F3, 27) (dual of [276, 174, 28]-code) | [i] | ✔ | |
| 92 | Linear OA(3103, 276, F3, 28) (dual of [276, 173, 29]-code) | [i] | ✔ | |
| 93 | Linear OA(3131, 279, F3, 40) (dual of [279, 148, 41]-code) | [i] | ✔ | |
| 94 | Linear OA(3130, 284, F3, 38) (dual of [284, 154, 39]-code) | [i] | ✔ | |
| 95 | Linear OA(3128, 281, F3, 38) (dual of [281, 153, 39]-code) | [i] | ✔ | |
| 96 | Linear OA(3107, 276, F3, 31) (dual of [276, 169, 32]-code) | [i] | ✔ | |
| 97 | Linear OA(3105, 273, F3, 31) (dual of [273, 168, 32]-code) | [i] | ✔ | |
| 98 | Linear OA(3103, 271, F3, 30) (dual of [271, 168, 31]-code) | [i] | ✔ | |
| 99 | Linear OA(3107, 280, F3, 30) (dual of [280, 173, 31]-code) | [i] | ✔ | |
| 100 | Linear OA(3105, 278, F3, 29) (dual of [278, 173, 30]-code) | [i] | ✔ | |
| 101 | Linear OOA(391, 81, F3, 3, 31) (dual of [(81, 3), 152, 32]-NRT-code) | [i] | OOA Folding | |