Information on Result #610814
Linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using extended quadratic residue code Qe(24,3)
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(312, 24, F3, 7) (dual of [24, 12, 8]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(313, 25, F3, 8) (dual of [25, 12, 9]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(311, 23, F3, 7) (dual of [23, 12, 8]-code) | [i] | Truncation | |
| 4 | Linear OA(310, 22, F3, 6) (dual of [22, 12, 7]-code) | [i] | ||
| 5 | Linear OA(316, 29, F3, 8) (dual of [29, 13, 9]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(319, 48, F3, 8) (dual of [48, 29, 9]-code) | [i] | ||
| 7 | Linear OA(3144, 154, F3, 86) (dual of [154, 10, 87]-code) | [i] | Juxtaposition | |
| 8 | Linear OA(393, 100, F3, 59) (dual of [100, 7, 60]-code) | [i] | ||
| 9 | Linear OA(3174, 181, F3, 110) (dual of [181, 7, 111]-code) | [i] | ||
| 10 | Linear OA(3133, 138, F3, 89) (dual of [138, 5, 90]-code) | [i] | ||
| 11 | Linear OA(3180, 187, F3, 116) (dual of [187, 7, 117]-code) | [i] | ||
| 12 | Linear OA(357, 78, F3, 26) (dual of [78, 21, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(320, 46, F3, 8) (dual of [46, 26, 9]-code) | [i] | ||
| 14 | Linear OA(388, 98, F3, 53) (dual of [98, 10, 54]-code) | [i] | Construction X with Cyclic Codes | |
| 15 | Linear OA(386, 100, F3, 50) (dual of [100, 14, 51]-code) | [i] | ||
| 16 | Linear OA(386, 101, F3, 49) (dual of [101, 15, 50]-code) | [i] | ||
| 17 | Linear OA(391, 98, F3, 58) (dual of [98, 7, 59]-code) | [i] | ||
| 18 | Linear OA(387, 98, F3, 52) (dual of [98, 11, 53]-code) | [i] | ||
| 19 | Linear OA(385, 100, F3, 49) (dual of [100, 15, 50]-code) | [i] | ||
| 20 | Linear OA(385, 101, F3, 48) (dual of [101, 16, 49]-code) | [i] | ||
| 21 | Linear OA(3128, 143, F3, 71) (dual of [143, 15, 72]-code) | [i] | ||
| 22 | Linear OA(388, 99, F3, 53) (dual of [99, 11, 54]-code) | [i] | Construction XX with Cyclic Codes | |
| 23 | Linear OA(386, 101, F3, 50) (dual of [101, 15, 51]-code) | [i] | ||
| 24 | Linear OA(3129, 145, F3, 71) (dual of [145, 16, 72]-code) | [i] | ||
| 25 | Linear OA(394, 110, F3, 52) (dual of [110, 16, 53]-code) | [i] | ||
| 26 | Linear OA(391, 106, F3, 51) (dual of [106, 15, 52]-code) | [i] | ||
| 27 | Linear OA(394, 109, F3, 53) (dual of [109, 15, 54]-code) | [i] | ||
| 28 | Linear OA(393, 107, F3, 53) (dual of [107, 14, 54]-code) | [i] | ||
| 29 | Linear OA(391, 105, F3, 52) (dual of [105, 14, 53]-code) | [i] | ||
| 30 | Linear OA(3134, 149, F3, 74) (dual of [149, 15, 75]-code) | [i] | ||
| 31 | Linear OA(3144, 155, F3, 84) (dual of [155, 11, 85]-code) | [i] | ||
| 32 | Linear OA(3144, 155, F3, 84) (dual of [155, 11, 85]-code) | [i] | ||
| 33 | Linear OA(3138, 149, F3, 81) (dual of [149, 11, 82]-code) | [i] | ||
| 34 | Linear OA(3243, 275, F3, 133) (dual of [275, 32, 134]-code) | [i] | ||
| 35 | Linear OA(3242, 273, F3, 133) (dual of [273, 31, 134]-code) | [i] | ||
| 36 | Linear OA(3240, 271, F3, 132) (dual of [271, 31, 133]-code) | [i] | ||
| 37 | Linear OA(3243, 274, F3, 134) (dual of [274, 31, 135]-code) | [i] | ||
| 38 | Linear OA(3242, 272, F3, 134) (dual of [272, 30, 135]-code) | [i] | ||
| 39 | Linear OA(3240, 270, F3, 133) (dual of [270, 30, 134]-code) | [i] | ||
| 40 | Linear OA(3248, 274, F3, 137) (dual of [274, 26, 138]-code) | [i] | ||
| 41 | Linear OA(3245, 271, F3, 135) (dual of [271, 26, 136]-code) | [i] | ||
| 42 | Linear OA(3247, 272, F3, 137) (dual of [272, 25, 138]-code) | [i] | ||
| 43 | Linear OA(3245, 270, F3, 136) (dual of [270, 25, 137]-code) | [i] | ||
| 44 | Linear OA(3250, 277, F3, 135) (dual of [277, 27, 136]-code) | [i] | ||
| 45 | Linear OA(3250, 278, F3, 135) (dual of [278, 28, 136]-code) | [i] | ||
| 46 | Linear OA(3250, 276, F3, 139) (dual of [276, 26, 140]-code) | [i] | ||
| 47 | Linear OA(3249, 279, F3, 135) (dual of [279, 30, 136]-code) | [i] | ||
| 48 | Linear OA(3250, 278, F3, 136) (dual of [278, 28, 137]-code) | [i] | ||
| 49 | Linear OA(3250, 275, F3, 140) (dual of [275, 25, 141]-code) | [i] | ||
| 50 | Linear OA(392, 105, F3, 52) (dual of [105, 13, 53]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 51 | Linear OA(391, 102, F3, 53) (dual of [102, 11, 54]-code) | [i] | ||
| 52 | Linear OA(389, 104, F3, 50) (dual of [104, 15, 51]-code) | [i] | ||
| 53 | Linear OA(387, 102, F3, 50) (dual of [102, 15, 51]-code) | [i] | ||
| 54 | Linear OA(395, 102, F3, 61) (dual of [102, 7, 62]-code) | [i] | ||
| 55 | Linear OA(394, 109, F3, 52) (dual of [109, 15, 53]-code) | [i] | ||
| 56 | Linear OA(392, 107, F3, 51) (dual of [107, 15, 52]-code) | [i] | ||
| 57 | Linear OA(391, 105, F3, 51) (dual of [105, 14, 52]-code) | [i] | ||
| 58 | Linear OA(391, 104, F3, 52) (dual of [104, 13, 53]-code) | [i] | ||
| 59 | Linear OA(390, 102, F3, 52) (dual of [102, 12, 53]-code) | [i] | ||
| 60 | Linear OA(388, 104, F3, 49) (dual of [104, 16, 50]-code) | [i] | ||
| 61 | Linear OA(386, 102, F3, 49) (dual of [102, 16, 50]-code) | [i] | ||
| 62 | Linear OA(389, 100, F3, 53) (dual of [100, 11, 54]-code) | [i] | ||
| 63 | Linear OA(391, 107, F3, 50) (dual of [107, 16, 51]-code) | [i] | ||
| 64 | Linear OA(389, 105, F3, 50) (dual of [105, 16, 51]-code) | [i] | ||
| 65 | Linear OA(3130, 146, F3, 71) (dual of [146, 16, 72]-code) | [i] | ||
| 66 | Linear OA(338, 46, F3, 22) (dual of [46, 8, 23]-code) | [i] | ||
| 67 | Linear OA(3249, 260, F3, 161) (dual of [260, 11, 162]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 68 | Linear OA(3244, 265, F3, 140) (dual of [265, 21, 141]-code) | [i] | ||
| 69 | Linear OA(3239, 265, F3, 134) (dual of [265, 26, 135]-code) | [i] | ||
| 70 | Linear OA(3234, 265, F3, 131) (dual of [265, 31, 132]-code) | [i] | ||
| 71 | Linear OA(3234, 266, F3, 130) (dual of [266, 32, 131]-code) | [i] | ||
| 72 | Linear OA(3185, 204, F3, 101) (dual of [204, 19, 102]-code) | [i] | ||
| 73 | Linear OA(3128, 144, F3, 70) (dual of [144, 16, 71]-code) | [i] | ||
| 74 | Linear OA(392, 99, F3, 59) (dual of [99, 7, 60]-code) | [i] | ||
| 75 | Linear OA(3250, 271, F3, 142) (dual of [271, 21, 143]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 76 | Linear OA(3249, 269, F3, 142) (dual of [269, 20, 143]-code) | [i] | ||
| 77 | Linear OA(3248, 266, F3, 143) (dual of [266, 18, 144]-code) | [i] | ||
| 78 | Linear OA(3247, 264, F3, 143) (dual of [264, 17, 144]-code) | [i] | ||
| 79 | Linear OA(3250, 272, F3, 140) (dual of [272, 22, 141]-code) | [i] | ||
| 80 | Linear OA(3243, 271, F3, 134) (dual of [271, 28, 135]-code) | [i] | ||
| 81 | Linear OA(3242, 269, F3, 134) (dual of [269, 27, 135]-code) | [i] | ||
| 82 | Linear OA(3235, 267, F3, 131) (dual of [267, 32, 132]-code) | [i] | ||
| 83 | Linear OA(396, 103, F3, 62) (dual of [103, 7, 63]-code) | [i] | ||
| 84 | Linear OA(395, 110, F3, 53) (dual of [110, 15, 54]-code) | [i] | ||
| 85 | Linear OA(393, 108, F3, 52) (dual of [108, 15, 53]-code) | [i] | ||
| 86 | Linear OA(392, 106, F3, 52) (dual of [106, 14, 53]-code) | [i] | ||
| 87 | Linear OA(392, 105, F3, 53) (dual of [105, 13, 54]-code) | [i] | ||
| 88 | Linear OA(391, 103, F3, 53) (dual of [103, 12, 54]-code) | [i] | ||
| 89 | Linear OA(387, 103, F3, 50) (dual of [103, 16, 51]-code) | [i] | ||
| 90 | Linear OA(3128, 138, F3, 80) (dual of [138, 10, 81]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 91 | Linear OA(3127, 138, F3, 75) (dual of [138, 11, 76]-code) | [i] | ||
| 92 | Linear OA(3132, 143, F3, 80) (dual of [143, 11, 81]-code) | [i] | Construction XX with De Boer–Brouwer Codes | |
| 93 | Linear OA(3133, 144, F3, 80) (dual of [144, 11, 81]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 94 | Linear OOA(312, 12, F3, 2, 8) (dual of [(12, 2), 12, 9]-NRT-code) | [i] | OOA Folding | |
| 95 | Linear OOA(312, 8, F3, 3, 8) (dual of [(8, 3), 12, 9]-NRT-code) | [i] | ||