Information on Result #612653
Linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(472, large, F4, 7) (dual of [large, large−72, 8]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(472, large, F4, 6) (dual of [large, large−72, 7]-code) | [i] | ||
| 3 | Linear OA(472, large, F4, 5) (dual of [large, large−72, 6]-code) | [i] | ||
| 4 | Linear OA(472, large, F4, 4) (dual of [large, large−72, 5]-code) | [i] | ||
| 5 | Linear OA(472, large, F4, 3) (dual of [large, large−72, 4]-code) | [i] | ||
| 6 | Linear OA(474, large, F4, 8) (dual of [large, large−74, 9]-code) | [i] | Code Embedding in Larger Space | |
| 7 | Linear OA(475, large, F4, 8) (dual of [large, large−75, 9]-code) | [i] | ||
| 8 | Linear OA(476, large, F4, 8) (dual of [large, large−76, 9]-code) | [i] | ||
| 9 | Linear OA(477, large, F4, 8) (dual of [large, large−77, 9]-code) | [i] | ||
| 10 | Linear OA(478, large, F4, 8) (dual of [large, large−78, 9]-code) | [i] | ||
| 11 | Linear OA(479, large, F4, 8) (dual of [large, large−79, 9]-code) | [i] | ||
| 12 | Linear OA(480, large, F4, 8) (dual of [large, large−80, 9]-code) | [i] | ||
| 13 | Linear OA(481, large, F4, 8) (dual of [large, large−81, 9]-code) | [i] | ||
| 14 | Linear OA(482, large, F4, 8) (dual of [large, large−82, 9]-code) | [i] | ||
| 15 | Linear OA(483, large, F4, 8) (dual of [large, large−83, 9]-code) | [i] | ||
| 16 | Linear OA(484, large, F4, 8) (dual of [large, large−84, 9]-code) | [i] | ||
| 17 | Linear OA(486, large, F4, 8) (dual of [large, large−86, 9]-code) | [i] | ||
| 18 | Linear OA(487, large, F4, 8) (dual of [large, large−87, 9]-code) | [i] | ||
| 19 | Linear OA(488, large, F4, 8) (dual of [large, large−88, 9]-code) | [i] | ||
| 20 | Linear OA(489, large, F4, 8) (dual of [large, large−89, 9]-code) | [i] | ||
| 21 | Linear OA(490, large, F4, 8) (dual of [large, large−90, 9]-code) | [i] | ||
| 22 | Linear OA(491, large, F4, 8) (dual of [large, large−91, 9]-code) | [i] | ||
| 23 | Linear OA(492, large, F4, 8) (dual of [large, large−92, 9]-code) | [i] | ||
| 24 | Linear OA(494, large, F4, 8) (dual of [large, large−94, 9]-code) | [i] | ||
| 25 | Linear OA(495, large, F4, 8) (dual of [large, large−95, 9]-code) | [i] | ||
| 26 | Linear OA(496, large, F4, 8) (dual of [large, large−96, 9]-code) | [i] | ||
| 27 | Linear OA(498, large, F4, 8) (dual of [large, large−98, 9]-code) | [i] | ||
| 28 | Linear OA(499, large, F4, 8) (dual of [large, large−99, 9]-code) | [i] | ||
| 29 | Linear OA(4100, large, F4, 8) (dual of [large, large−100, 9]-code) | [i] | ||
| 30 | Linear OA(4101, large, F4, 8) (dual of [large, large−101, 9]-code) | [i] | ||
| 31 | Linear OA(4102, large, F4, 8) (dual of [large, large−102, 9]-code) | [i] | ||
| 32 | Linear OA(4103, large, F4, 8) (dual of [large, large−103, 9]-code) | [i] | ||
| 33 | Linear OA(4104, large, F4, 8) (dual of [large, large−104, 9]-code) | [i] | ||
| 34 | Linear OA(4105, large, F4, 8) (dual of [large, large−105, 9]-code) | [i] | ||
| 35 | Linear OA(4106, large, F4, 8) (dual of [large, large−106, 9]-code) | [i] | ||
| 36 | Linear OA(4107, large, F4, 8) (dual of [large, large−107, 9]-code) | [i] | ||
| 37 | Linear OA(4110, large, F4, 8) (dual of [large, large−110, 9]-code) | [i] | ||
| 38 | Linear OA(4111, large, F4, 8) (dual of [large, large−111, 9]-code) | [i] | ||
| 39 | Linear OA(4112, large, F4, 8) (dual of [large, large−112, 9]-code) | [i] | ||
| 40 | Linear OA(4113, large, F4, 8) (dual of [large, large−113, 9]-code) | [i] | ||
| 41 | Linear OA(4114, large, F4, 8) (dual of [large, large−114, 9]-code) | [i] | ||
| 42 | Linear OA(4115, large, F4, 8) (dual of [large, large−115, 9]-code) | [i] | ||
| 43 | Linear OA(4116, large, F4, 8) (dual of [large, large−116, 9]-code) | [i] | ||
| 44 | Linear OA(4117, large, F4, 8) (dual of [large, large−117, 9]-code) | [i] | ||
| 45 | Linear OA(4118, large, F4, 8) (dual of [large, large−118, 9]-code) | [i] | ||
| 46 | Linear OA(4119, large, F4, 8) (dual of [large, large−119, 9]-code) | [i] | ||
| 47 | Linear OA(4120, large, F4, 8) (dual of [large, large−120, 9]-code) | [i] | ||
| 48 | Linear OA(4122, large, F4, 8) (dual of [large, large−122, 9]-code) | [i] | ||
| 49 | Linear OA(4123, large, F4, 8) (dual of [large, large−123, 9]-code) | [i] | ||
| 50 | Linear OA(4124, large, F4, 8) (dual of [large, large−124, 9]-code) | [i] | ||
| 51 | Linear OA(4125, large, F4, 8) (dual of [large, large−125, 9]-code) | [i] | ||
| 52 | Linear OA(4126, large, F4, 8) (dual of [large, large−126, 9]-code) | [i] | ||
| 53 | Linear OA(4127, large, F4, 8) (dual of [large, large−127, 9]-code) | [i] | ||
| 54 | Linear OA(4128, large, F4, 8) (dual of [large, large−128, 9]-code) | [i] | ||
| 55 | Linear OA(4129, large, F4, 8) (dual of [large, large−129, 9]-code) | [i] | ||
| 56 | Linear OA(4130, large, F4, 8) (dual of [large, large−130, 9]-code) | [i] | ||
| 57 | Linear OA(4131, large, F4, 8) (dual of [large, large−131, 9]-code) | [i] | ||
| 58 | Linear OA(4132, large, F4, 8) (dual of [large, large−132, 9]-code) | [i] | ||
| 59 | Linear OA(4134, large, F4, 8) (dual of [large, large−134, 9]-code) | [i] | ||
| 60 | Linear OA(4135, large, F4, 8) (dual of [large, large−135, 9]-code) | [i] | ||
| 61 | Linear OA(4136, large, F4, 8) (dual of [large, large−136, 9]-code) | [i] | ||
| 62 | Linear OA(4137, large, F4, 8) (dual of [large, large−137, 9]-code) | [i] | ||
| 63 | Linear OA(4138, large, F4, 8) (dual of [large, large−138, 9]-code) | [i] | ||
| 64 | Linear OA(4139, large, F4, 8) (dual of [large, large−139, 9]-code) | [i] | ||
| 65 | Linear OA(4140, large, F4, 8) (dual of [large, large−140, 9]-code) | [i] | ||
| 66 | Linear OA(4141, large, F4, 8) (dual of [large, large−141, 9]-code) | [i] | ||
| 67 | Linear OA(4142, large, F4, 8) (dual of [large, large−142, 9]-code) | [i] | ||
| 68 | Linear OA(4143, large, F4, 8) (dual of [large, large−143, 9]-code) | [i] | ||
| 69 | Linear OA(4146, large, F4, 8) (dual of [large, large−146, 9]-code) | [i] | ||
| 70 | Linear OA(4147, large, F4, 8) (dual of [large, large−147, 9]-code) | [i] | ||
| 71 | Linear OA(4148, large, F4, 8) (dual of [large, large−148, 9]-code) | [i] | ||
| 72 | Linear OA(4149, large, F4, 8) (dual of [large, large−149, 9]-code) | [i] | ||
| 73 | Linear OA(4150, large, F4, 8) (dual of [large, large−150, 9]-code) | [i] | ||
| 74 | Linear OA(4151, large, F4, 8) (dual of [large, large−151, 9]-code) | [i] | ||
| 75 | Linear OA(4152, large, F4, 8) (dual of [large, large−152, 9]-code) | [i] | ||
| 76 | Linear OA(4153, large, F4, 8) (dual of [large, large−153, 9]-code) | [i] | ||
| 77 | Linear OA(4154, large, F4, 8) (dual of [large, large−154, 9]-code) | [i] | ||
| 78 | Linear OA(4155, large, F4, 8) (dual of [large, large−155, 9]-code) | [i] | ||
| 79 | Linear OA(4156, large, F4, 8) (dual of [large, large−156, 9]-code) | [i] | ||
| 80 | Linear OA(4158, large, F4, 8) (dual of [large, large−158, 9]-code) | [i] | ||
| 81 | Linear OA(4159, large, F4, 8) (dual of [large, large−159, 9]-code) | [i] | ||
| 82 | Linear OA(4160, large, F4, 8) (dual of [large, large−160, 9]-code) | [i] | ||
| 83 | Linear OA(4161, large, F4, 8) (dual of [large, large−161, 9]-code) | [i] | ||
| 84 | Linear OA(4162, large, F4, 8) (dual of [large, large−162, 9]-code) | [i] | ||
| 85 | Linear OA(4163, large, F4, 8) (dual of [large, large−163, 9]-code) | [i] | ||
| 86 | Linear OA(4164, large, F4, 8) (dual of [large, large−164, 9]-code) | [i] | ||
| 87 | Linear OA(4165, large, F4, 8) (dual of [large, large−165, 9]-code) | [i] | ||
| 88 | Linear OA(4166, large, F4, 8) (dual of [large, large−166, 9]-code) | [i] | ||
| 89 | Linear OA(4167, large, F4, 8) (dual of [large, large−167, 9]-code) | [i] | ||
| 90 | Linear OA(4168, large, F4, 8) (dual of [large, large−168, 9]-code) | [i] | ||
| 91 | Linear OA(4170, large, F4, 8) (dual of [large, large−170, 9]-code) | [i] | ||
| 92 | Linear OA(4171, large, F4, 8) (dual of [large, large−171, 9]-code) | [i] | ||
| 93 | Linear OA(4172, large, F4, 8) (dual of [large, large−172, 9]-code) | [i] | ||
| 94 | Linear OA(4173, large, F4, 8) (dual of [large, large−173, 9]-code) | [i] | ||
| 95 | Linear OA(4174, large, F4, 8) (dual of [large, large−174, 9]-code) | [i] | ||
| 96 | Linear OA(4175, large, F4, 8) (dual of [large, large−175, 9]-code) | [i] | ||
| 97 | Linear OA(4176, large, F4, 8) (dual of [large, large−176, 9]-code) | [i] | ||
| 98 | Linear OA(4177, large, F4, 8) (dual of [large, large−177, 9]-code) | [i] | ||
| 99 | Linear OA(4178, large, F4, 8) (dual of [large, large−178, 9]-code) | [i] | ||
| 100 | Linear OA(4179, large, F4, 8) (dual of [large, large−179, 9]-code) | [i] | ||
| 101 | Linear OA(4182, large, F4, 8) (dual of [large, large−182, 9]-code) | [i] | ||
| 102 | Linear OA(4183, large, F4, 8) (dual of [large, large−183, 9]-code) | [i] | ||
| 103 | Linear OA(4184, large, F4, 8) (dual of [large, large−184, 9]-code) | [i] | ||
| 104 | Linear OA(4185, large, F4, 8) (dual of [large, large−185, 9]-code) | [i] | ||
| 105 | Linear OA(4186, large, F4, 8) (dual of [large, large−186, 9]-code) | [i] | ||
| 106 | Linear OA(4187, large, F4, 8) (dual of [large, large−187, 9]-code) | [i] | ||
| 107 | Linear OA(4188, large, F4, 8) (dual of [large, large−188, 9]-code) | [i] | ||
| 108 | Linear OA(4189, large, F4, 8) (dual of [large, large−189, 9]-code) | [i] | ||
| 109 | Linear OA(4190, large, F4, 8) (dual of [large, large−190, 9]-code) | [i] | ||
| 110 | Linear OA(4191, large, F4, 8) (dual of [large, large−191, 9]-code) | [i] | ||
| 111 | Linear OA(4192, large, F4, 8) (dual of [large, large−192, 9]-code) | [i] | ||
| 112 | Linear OA(4194, large, F4, 8) (dual of [large, large−194, 9]-code) | [i] | ||
| 113 | Linear OA(4195, large, F4, 8) (dual of [large, large−195, 9]-code) | [i] | ||
| 114 | Linear OA(4196, large, F4, 8) (dual of [large, large−196, 9]-code) | [i] | ||
| 115 | Linear OA(4197, large, F4, 8) (dual of [large, large−197, 9]-code) | [i] | ||
| 116 | Linear OA(4198, large, F4, 8) (dual of [large, large−198, 9]-code) | [i] | ||
| 117 | Linear OA(4199, large, F4, 8) (dual of [large, large−199, 9]-code) | [i] | ||
| 118 | Linear OA(4200, large, F4, 8) (dual of [large, large−200, 9]-code) | [i] | ||
| 119 | Linear OA(4201, large, F4, 8) (dual of [large, large−201, 9]-code) | [i] | ||
| 120 | Linear OA(4202, large, F4, 8) (dual of [large, large−202, 9]-code) | [i] | ||
| 121 | Linear OA(4203, large, F4, 8) (dual of [large, large−203, 9]-code) | [i] | ||
| 122 | Linear OA(4204, large, F4, 8) (dual of [large, large−204, 9]-code) | [i] | ||
| 123 | Linear OA(4206, large, F4, 8) (dual of [large, large−206, 9]-code) | [i] | ||
| 124 | Linear OA(4207, large, F4, 8) (dual of [large, large−207, 9]-code) | [i] | ||
| 125 | Linear OA(4208, large, F4, 8) (dual of [large, large−208, 9]-code) | [i] | ||
| 126 | Linear OA(4209, large, F4, 8) (dual of [large, large−209, 9]-code) | [i] | ||
| 127 | Linear OA(4210, large, F4, 8) (dual of [large, large−210, 9]-code) | [i] | ||
| 128 | Linear OA(4211, large, F4, 8) (dual of [large, large−211, 9]-code) | [i] | ||
| 129 | Linear OA(4212, large, F4, 8) (dual of [large, large−212, 9]-code) | [i] | ||
| 130 | Linear OA(4213, large, F4, 8) (dual of [large, large−213, 9]-code) | [i] | ||
| 131 | Linear OA(4214, large, F4, 8) (dual of [large, large−214, 9]-code) | [i] | ||
| 132 | Linear OA(4215, large, F4, 8) (dual of [large, large−215, 9]-code) | [i] | ||
| 133 | Linear OA(4218, large, F4, 8) (dual of [large, large−218, 9]-code) | [i] | ||
| 134 | Linear OA(4219, large, F4, 8) (dual of [large, large−219, 9]-code) | [i] | ||
| 135 | Linear OA(4220, large, F4, 8) (dual of [large, large−220, 9]-code) | [i] | ||
| 136 | Linear OA(4221, large, F4, 8) (dual of [large, large−221, 9]-code) | [i] | ||
| 137 | Linear OA(4222, large, F4, 8) (dual of [large, large−222, 9]-code) | [i] | ||
| 138 | Linear OA(4223, large, F4, 8) (dual of [large, large−223, 9]-code) | [i] | ||
| 139 | Linear OA(4224, large, F4, 8) (dual of [large, large−224, 9]-code) | [i] | ||
| 140 | Linear OA(4225, large, F4, 8) (dual of [large, large−225, 9]-code) | [i] | ||
| 141 | Linear OA(4226, large, F4, 8) (dual of [large, large−226, 9]-code) | [i] | ||
| 142 | Linear OA(4227, large, F4, 8) (dual of [large, large−227, 9]-code) | [i] | ||
| 143 | Linear OA(4228, large, F4, 8) (dual of [large, large−228, 9]-code) | [i] | ||
| 144 | Linear OA(4230, large, F4, 8) (dual of [large, large−230, 9]-code) | [i] | ||
| 145 | Linear OA(4232, large, F4, 8) (dual of [large, large−232, 9]-code) | [i] | ||
| 146 | Linear OA(4233, large, F4, 8) (dual of [large, large−233, 9]-code) | [i] | ||
| 147 | Linear OA(4234, large, F4, 8) (dual of [large, large−234, 9]-code) | [i] | ||
| 148 | Linear OA(4235, large, F4, 8) (dual of [large, large−235, 9]-code) | [i] | ||
| 149 | Linear OA(4236, large, F4, 8) (dual of [large, large−236, 9]-code) | [i] | ||
| 150 | Linear OA(4237, large, F4, 8) (dual of [large, large−237, 9]-code) | [i] | ||
| 151 | Linear OA(4238, large, F4, 8) (dual of [large, large−238, 9]-code) | [i] | ||
| 152 | Linear OA(4239, large, F4, 8) (dual of [large, large−239, 9]-code) | [i] | ||
| 153 | Linear OA(4240, large, F4, 8) (dual of [large, large−240, 9]-code) | [i] | ||
| 154 | Linear OA(4242, large, F4, 8) (dual of [large, large−242, 9]-code) | [i] | ||
| 155 | Linear OA(4243, large, F4, 8) (dual of [large, large−243, 9]-code) | [i] | ||
| 156 | Linear OA(4244, large, F4, 8) (dual of [large, large−244, 9]-code) | [i] | ||
| 157 | Linear OA(4245, large, F4, 8) (dual of [large, large−245, 9]-code) | [i] | ||
| 158 | Linear OA(4246, large, F4, 8) (dual of [large, large−246, 9]-code) | [i] | ||
| 159 | Linear OA(4247, large, F4, 8) (dual of [large, large−247, 9]-code) | [i] | ||
| 160 | Linear OA(4248, large, F4, 8) (dual of [large, large−248, 9]-code) | [i] | ||
| 161 | Linear OA(4249, large, F4, 8) (dual of [large, large−249, 9]-code) | [i] | ||
| 162 | Linear OA(4250, large, F4, 8) (dual of [large, large−250, 9]-code) | [i] | ||
| 163 | Linear OA(4251, large, F4, 8) (dual of [large, large−251, 9]-code) | [i] | ||
| 164 | Linear OA(4254, large, F4, 8) (dual of [large, large−254, 9]-code) | [i] | ||
| 165 | Linear OA(4255, large, F4, 8) (dual of [large, large−255, 9]-code) | [i] | ||
| 166 | Linear OA(4256, large, F4, 8) (dual of [large, large−256, 9]-code) | [i] | ||
| 167 | Linear OA(4257, large, F4, 8) (dual of [large, large−257, 9]-code) | [i] | ||
| 168 | Linear OA(4258, large, F4, 8) (dual of [large, large−258, 9]-code) | [i] | ||
| 169 | Linear OA(4259, large, F4, 8) (dual of [large, large−259, 9]-code) | [i] | ||
| 170 | Linear OA(4260, large, F4, 8) (dual of [large, large−260, 9]-code) | [i] | ||
| 171 | Linear OOA(472, large, F4, 2, 8) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 172 | Linear OOA(472, large, F4, 3, 8) | [i] | ||
| 173 | Digital (64, 72, large)-net over F4 | [i] | ||
| 174 | Linear OOA(472, 4194301, F4, 2, 8) (dual of [(4194301, 2), 8388530, 9]-NRT-code) | [i] | OOA Folding | |
| 175 | Linear OOA(472, 2796201, F4, 3, 8) (dual of [(2796201, 3), 8388531, 9]-NRT-code) | [i] | ||
| 176 | Linear OOA(472, 2097150, F4, 8, 8) (dual of [(2097150, 8), 16777128, 9]-NRT-code) | [i] | OA Folding and Stacking | |