Information on Result #609768
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(360, 66, F3, 39) (dual of [66, 6, 40]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(3247, 253, F3, 165) (dual of [253, 6, 166]-code) | [i] | ||
| 3 | Linear OA(359, 64, F3, 39) (dual of [64, 5, 40]-code) | [i] | ||
| 4 | Linear OA(385, 90, F3, 57) (dual of [90, 5, 58]-code) | [i] | ||
| 5 | Linear OA(3125, 130, F3, 84) (dual of [130, 5, 85]-code) | [i] | ||
| 6 | Linear OA(3126, 147, F3, 59) (dual of [147, 21, 60]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(3137, 161, F3, 63) (dual of [161, 24, 64]-code) | [i] | ||
| 8 | Linear OA(3133, 154, F3, 63) (dual of [154, 21, 64]-code) | [i] | ||
| 9 | Linear OA(3148, 175, F3, 67) (dual of [175, 27, 68]-code) | [i] | ||
| 10 | Linear OA(3144, 168, F3, 67) (dual of [168, 24, 68]-code) | [i] | ||
| 11 | Linear OA(3140, 161, F3, 67) (dual of [161, 21, 68]-code) | [i] | ||
| 12 | Linear OA(3155, 182, F3, 71) (dual of [182, 27, 72]-code) | [i] | ||
| 13 | Linear OA(3151, 175, F3, 71) (dual of [175, 24, 72]-code) | [i] | ||
| 14 | Linear OA(3147, 168, F3, 71) (dual of [168, 21, 72]-code) | [i] | ||
| 15 | Linear OA(3162, 189, F3, 75) (dual of [189, 27, 76]-code) | [i] | ||
| 16 | Linear OA(3158, 182, F3, 75) (dual of [182, 24, 76]-code) | [i] | ||
| 17 | Linear OA(3154, 175, F3, 75) (dual of [175, 21, 76]-code) | [i] | ||
| 18 | Linear OA(3165, 189, F3, 79) (dual of [189, 24, 80]-code) | [i] | ||
| 19 | Linear OA(3161, 182, F3, 79) (dual of [182, 21, 80]-code) | [i] | ||
| 20 | Linear OA(3172, 196, F3, 83) (dual of [196, 24, 84]-code) | [i] | ||
| 21 | Linear OA(3168, 189, F3, 83) (dual of [189, 21, 84]-code) | [i] | ||
| 22 | Linear OA(3175, 196, F3, 87) (dual of [196, 21, 88]-code) | [i] | ||
| 23 | Linear OA(3198, 231, F3, 87) (dual of [231, 33, 88]-code) | [i] | ||
| 24 | Linear OA(3181, 196, F3, 95) (dual of [196, 15, 96]-code) | [i] | ||
| 25 | Linear OA(3227, 266, F3, 99) (dual of [266, 39, 100]-code) | [i] | ||
| 26 | Linear OA(3230, 266, F3, 103) (dual of [266, 36, 104]-code) | [i] | ||
| 27 | Linear OA(3233, 266, F3, 107) (dual of [266, 33, 108]-code) | [i] | ||
| 28 | Linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)) | [i] | Doubling a Cap | |
| 29 | Linear OA(3229, 4782980, F3, 25) (dual of [4782980, 4782751, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 30 | Linear OA(3173, 4782980, F3, 19) (dual of [4782980, 4782807, 20]-code) | [i] | ||
| 31 | Linear OA(3117, 4782980, F3, 13) (dual of [4782980, 4782863, 14]-code) | [i] | ||
| 32 | Linear OA(3213, 1594334, F3, 25) (dual of [1594334, 1594121, 26]-code) | [i] | ||
| 33 | Linear OA(3161, 1594334, F3, 19) (dual of [1594334, 1594173, 20]-code) | [i] | ||
| 34 | Linear OA(3109, 1594334, F3, 13) (dual of [1594334, 1594225, 14]-code) | [i] | ||
| 35 | Linear OA(3245, 531452, F3, 31) (dual of [531452, 531207, 32]-code) | [i] | ||
| 36 | Linear OA(3197, 531452, F3, 25) (dual of [531452, 531255, 26]-code) | [i] | ||
| 37 | Linear OA(3149, 531452, F3, 19) (dual of [531452, 531303, 20]-code) | [i] | ||
| 38 | Linear OA(3101, 531452, F3, 13) (dual of [531452, 531351, 14]-code) | [i] | ||
| 39 | Linear OA(3225, 177158, F3, 31) (dual of [177158, 176933, 32]-code) | [i] | ||
| 40 | Linear OA(3181, 177158, F3, 25) (dual of [177158, 176977, 26]-code) | [i] | ||
| 41 | Linear OA(3137, 177158, F3, 19) (dual of [177158, 177021, 20]-code) | [i] | ||
| 42 | Linear OA(393, 177158, F3, 13) (dual of [177158, 177065, 14]-code) | [i] | ||
| 43 | Linear OA(3245, 59060, F3, 37) (dual of [59060, 58815, 38]-code) | [i] | ||
| 44 | Linear OA(3205, 59060, F3, 31) (dual of [59060, 58855, 32]-code) | [i] | ||
| 45 | Linear OA(3165, 59060, F3, 25) (dual of [59060, 58895, 26]-code) | [i] | ||
| 46 | Linear OA(3125, 59060, F3, 19) (dual of [59060, 58935, 20]-code) | [i] | ||
| 47 | Linear OA(385, 59060, F3, 13) (dual of [59060, 58975, 14]-code) | [i] | ||
| 48 | Linear OA(3221, 19694, F3, 37) (dual of [19694, 19473, 38]-code) | [i] | ||
| 49 | Linear OA(3185, 19694, F3, 31) (dual of [19694, 19509, 32]-code) | [i] | ||
| 50 | Linear OA(3149, 19694, F3, 25) (dual of [19694, 19545, 26]-code) | [i] | ||
| 51 | Linear OA(3113, 19694, F3, 19) (dual of [19694, 19581, 20]-code) | [i] | ||
| 52 | Linear OA(377, 19694, F3, 13) (dual of [19694, 19617, 14]-code) | [i] | ||
| 53 | Linear OA(3229, 6572, F3, 43) (dual of [6572, 6343, 44]-code) | [i] | ||
| 54 | Linear OA(3197, 6572, F3, 37) (dual of [6572, 6375, 38]-code) | [i] | ||
| 55 | Linear OA(3165, 6572, F3, 31) (dual of [6572, 6407, 32]-code) | [i] | ||
| 56 | Linear OA(3133, 6572, F3, 25) (dual of [6572, 6439, 26]-code) | [i] | ||
| 57 | Linear OA(3101, 6572, F3, 19) (dual of [6572, 6471, 20]-code) | [i] | ||
| 58 | Linear OA(369, 6572, F3, 13) (dual of [6572, 6503, 14]-code) | [i] | ||
| 59 | Linear OA(3229, 2198, F3, 49) (dual of [2198, 1969, 50]-code) | [i] | ||
| 60 | Linear OA(3201, 2198, F3, 43) (dual of [2198, 1997, 44]-code) | [i] | ||
| 61 | Linear OA(3173, 2198, F3, 37) (dual of [2198, 2025, 38]-code) | [i] | ||
| 62 | Linear OA(3145, 2198, F3, 31) (dual of [2198, 2053, 32]-code) | [i] | ||
| 63 | Linear OA(3117, 2198, F3, 25) (dual of [2198, 2081, 26]-code) | [i] | ||
| 64 | Linear OA(389, 2198, F3, 19) (dual of [2198, 2109, 20]-code) | [i] | ||
| 65 | Linear OA(361, 2198, F3, 13) (dual of [2198, 2137, 14]-code) | [i] | ||
| 66 | Linear OA(3233, 740, F3, 61) (dual of [740, 507, 62]-code) | [i] | ||
| 67 | Linear OA(3197, 740, F3, 49) (dual of [740, 543, 50]-code) | [i] | ||
| 68 | Linear OA(3173, 740, F3, 43) (dual of [740, 567, 44]-code) | [i] | ||
| 69 | Linear OA(3149, 740, F3, 37) (dual of [740, 591, 38]-code) | [i] | ||
| 70 | Linear OA(3125, 740, F3, 31) (dual of [740, 615, 32]-code) | [i] | ||
| 71 | Linear OA(3101, 740, F3, 25) (dual of [740, 639, 26]-code) | [i] | ||
| 72 | Linear OA(377, 740, F3, 19) (dual of [740, 663, 20]-code) | [i] | ||
| 73 | Linear OA(353, 740, F3, 13) (dual of [740, 687, 14]-code) | [i] | ||
| 74 | Linear OA(3137, 375, F3, 37) (dual of [375, 238, 38]-code) | [i] | ||
| 75 | Linear OA(385, 254, F3, 25) (dual of [254, 169, 26]-code) | [i] | ||
| 76 | Linear OA(365, 254, F3, 19) (dual of [254, 189, 20]-code) | [i] | ||
| 77 | Linear OA(345, 254, F3, 13) (dual of [254, 209, 14]-code) | [i] | ||
| 78 | Linear OA(374, 89, F3, 44) (dual of [89, 15, 45]-code) | [i] | ||
| 79 | Linear OA(373, 89, F3, 43) (dual of [89, 16, 44]-code) | [i] | ||
| 80 | Linear OA(380, 87, F3, 53) (dual of [87, 7, 54]-code) | [i] | ||
| 81 | Linear OA(337, 92, F3, 13) (dual of [92, 55, 14]-code) | [i] | ||
| 82 | Linear OA(327, 34, F3, 17) (dual of [34, 7, 18]-code) | [i] | ||
| 83 | Linear OA(326, 34, F3, 16) (dual of [34, 8, 17]-code) | [i] | ||
| 84 | Linear OA(338, 46, F3, 23) (dual of [46, 8, 24]-code) | [i] | ||
| 85 | Linear OA(360, 131, F3, 20) (dual of [131, 71, 21]-code) | [i] | ||
| 86 | Linear OA(365, 131, F3, 21) (dual of [131, 66, 22]-code) | [i] | ||
| 87 | Linear OA(364, 131, F3, 21) (dual of [131, 67, 22]-code) | [i] | ||
| 88 | Linear OA(3113, 374, F3, 31) (dual of [374, 261, 32]-code) | [i] | ||
| 89 | Linear OA(374, 90, F3, 44) (dual of [90, 16, 45]-code) | [i] | Construction XX with Cyclic Codes | |
| 90 | Linear OA(327, 35, F3, 17) (dual of [35, 8, 18]-code) | [i] | ||
| 91 | Linear OA(342, 101, F3, 14) (dual of [101, 59, 15]-code) | [i] | ||
| 92 | Linear OA(382, 98, F3, 47) (dual of [98, 16, 48]-code) | [i] | ||
| 93 | Linear OA(382, 98, F3, 47) (dual of [98, 16, 48]-code) | [i] | ||
| 94 | Linear OA(379, 95, F3, 45) (dual of [95, 16, 46]-code) | [i] | ||
| 95 | Linear OA(381, 96, F3, 47) (dual of [96, 15, 48]-code) | [i] | ||
| 96 | Linear OA(379, 94, F3, 46) (dual of [94, 15, 47]-code) | [i] | ||
| 97 | Linear OA(394, 110, F3, 52) (dual of [110, 16, 53]-code) | [i] | ||
| 98 | Linear OA(394, 109, F3, 53) (dual of [109, 15, 54]-code) | [i] | ||
| 99 | Linear OA(390, 99, F3, 54) (dual of [99, 9, 55]-code) | [i] | ||
| 100 | Linear OA(355, 137, F3, 17) (dual of [137, 82, 18]-code) | [i] | ||
| 101 | Linear OA(370, 137, F3, 23) (dual of [137, 67, 24]-code) | [i] | ||
| 102 | Linear OA(359, 136, F3, 18) (dual of [136, 77, 19]-code) | [i] | ||
| 103 | Linear OA(3130, 145, F3, 72) (dual of [145, 15, 73]-code) | [i] | ||
| 104 | Linear OA(3129, 143, F3, 72) (dual of [143, 14, 73]-code) | [i] | ||
| 105 | Linear OA(3128, 141, F3, 72) (dual of [141, 13, 73]-code) | [i] | ||
| 106 | Linear OA(3121, 259, F3, 39) (dual of [259, 138, 40]-code) | [i] | ||
| 107 | Linear OA(3120, 257, F3, 39) (dual of [257, 137, 40]-code) | [i] | ||
| 108 | Linear OA(3128, 265, F3, 41) (dual of [265, 137, 42]-code) | [i] | ||
| 109 | Linear OA(3146, 259, F3, 48) (dual of [259, 113, 49]-code) | [i] | ||
| 110 | Linear OA(3145, 257, F3, 48) (dual of [257, 112, 49]-code) | [i] | ||
| 111 | Linear OA(3230, 262, F3, 128) (dual of [262, 32, 129]-code) | [i] | ||
| 112 | Linear OA(3230, 262, F3, 128) (dual of [262, 32, 129]-code) | [i] | ||
| 113 | Linear OA(3227, 259, F3, 126) (dual of [259, 32, 127]-code) | [i] | ||
| 114 | Linear OA(3229, 260, F3, 128) (dual of [260, 31, 129]-code) | [i] | ||
| 115 | Linear OA(3227, 258, F3, 127) (dual of [258, 31, 128]-code) | [i] | ||
| 116 | Linear OA(3243, 275, F3, 133) (dual of [275, 32, 134]-code) | [i] | ||
| 117 | Linear OA(3246, 275, F3, 134) (dual of [275, 29, 135]-code) | [i] | ||
| 118 | Linear OA(3243, 274, F3, 134) (dual of [274, 31, 135]-code) | [i] | ||
| 119 | Linear OA(3237, 263, F3, 134) (dual of [263, 26, 135]-code) | [i] | ||
| 120 | Linear OA(3248, 274, F3, 137) (dual of [274, 26, 138]-code) | [i] | ||
| 121 | Linear OA(3239, 260, F3, 137) (dual of [260, 21, 138]-code) | [i] | ||
| 122 | Linear OA(3237, 258, F3, 136) (dual of [258, 21, 137]-code) | [i] | ||
| 123 | Linear OA(3221, 741, F3, 57) (dual of [741, 520, 58]-code) | [i] | ||
| 124 | Linear OA(3230, 772, F3, 52) (dual of [772, 542, 53]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 125 | Linear OA(3221, 253, F3, 125) (dual of [253, 32, 126]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 126 | Linear OA(3140, 253, F3, 47) (dual of [253, 113, 48]-code) | [i] | ||
| 127 | Linear OA(3115, 253, F3, 38) (dual of [253, 138, 39]-code) | [i] | ||
| 128 | Linear OA(355, 132, F3, 17) (dual of [132, 77, 18]-code) | [i] | ||
| 129 | Linear OA(346, 90, F3, 18) (dual of [90, 44, 19]-code) | [i] | Construction X with Varšamov Bound | |
| 130 | Linear OA(347, 92, F3, 18) (dual of [92, 45, 19]-code) | [i] | ||
| 131 | Linear OA(348, 94, F3, 18) (dual of [94, 46, 19]-code) | [i] | ||
| 132 | Linear OA(349, 96, F3, 18) (dual of [96, 47, 19]-code) | [i] | ||
| 133 | Linear OA(353, 73, F3, 24) (dual of [73, 20, 25]-code) | [i] | ||
| 134 | Linear OA(366, 88, F3, 30) (dual of [88, 22, 31]-code) | [i] | ||
| 135 | Linear OA(391, 114, F3, 42) (dual of [114, 23, 43]-code) | [i] | ||
| 136 | Linear OA(395, 118, F3, 44) (dual of [118, 23, 45]-code) | [i] | ||
| 137 | Linear OA(3124, 146, F3, 60) (dual of [146, 22, 61]-code) | [i] | ||
| 138 | Linear OA(3125, 148, F3, 60) (dual of [148, 23, 61]-code) | [i] | ||
| 139 | Linear OA(3181, 215, F3, 85) (dual of [215, 34, 86]-code) | [i] | ||
| 140 | Linear OA(3182, 217, F3, 85) (dual of [217, 35, 86]-code) | [i] | ||
| 141 | Linear OA(3182, 216, F3, 86) (dual of [216, 34, 87]-code) | [i] | ||
| 142 | Linear OA(3239, 19761, F3, 36) (dual of [19761, 19522, 37]-code) | [i] | ||
| 143 | Linear OA(350, 100, F3, 19) (dual of [100, 50, 20]-code) | [i] | ||
| 144 | Linear OA(351, 102, F3, 19) (dual of [102, 51, 20]-code) | [i] | ||
| 145 | Linear OA(359, 85, F3, 26) (dual of [85, 26, 27]-code) | [i] | ||
| 146 | Linear OA(384, 127, F3, 34) (dual of [127, 43, 35]-code) | [i] | ||
| 147 | Linear OA(385, 129, F3, 34) (dual of [129, 44, 35]-code) | [i] | ||
| 148 | Linear OA(385, 128, F3, 35) (dual of [128, 43, 36]-code) | [i] | ||
| 149 | Linear OA(386, 130, F3, 35) (dual of [130, 44, 36]-code) | [i] | ||
| 150 | Linear OA(3104, 141, F3, 45) (dual of [141, 37, 46]-code) | [i] | ||
| 151 | Linear OA(3107, 145, F3, 46) (dual of [145, 38, 47]-code) | [i] | ||
| 152 | Linear OA(3111, 149, F3, 48) (dual of [149, 38, 49]-code) | [i] | ||
| 153 | Linear OA(3112, 150, F3, 49) (dual of [150, 38, 50]-code) | [i] | ||
| 154 | Linear OA(3133, 169, F3, 60) (dual of [169, 36, 61]-code) | [i] | ||
| 155 | Linear OA(3134, 171, F3, 60) (dual of [171, 37, 61]-code) | [i] | ||
| 156 | Linear OA(3165, 203, F3, 75) (dual of [203, 38, 76]-code) | [i] | ||
| 157 | Linear OOA(34, 10, F3, 2, 3) (dual of [(10, 2), 16, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 158 | Linear OOA(34, 9, F3, 3, 3) (dual of [(9, 3), 23, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |