Information on Result #5267
There is no OA(511, 13, S5, 10), because the (dual) Plotkin bound shows that M ≥ 732 421875 / 11 > 511
Mode: Bound.
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 | No OA(512, 14, S5, 11) | [i] | Truncation | |
| 2 | No OA(513, 15, S5, 12) | [i] | ||
| 3 | No OA(514, 16, S5, 13) | [i] | ||
| 4 | No OA(515, 17, S5, 14) | [i] | ||
| 5 | No OA(516, 18, S5, 15) | [i] | ||
| 6 | No OA(517, 19, S5, 16) | [i] | ||
| 7 | No OA(518, 20, S5, 17) | [i] | ||
| 8 | No OA(519, 21, S5, 18) | [i] | ||
| 9 | No OA(520, 22, S5, 19) | [i] | ||
| 10 | No OA(521, 23, S5, 20) | [i] | ||
| 11 | No OA(522, 24, S5, 21) | [i] | ||
| 12 | No OA(523, 25, S5, 22) | [i] | ||
| 13 | No OA(524, 26, S5, 23) | [i] | ||
| 14 | No OA(525, 27, S5, 24) | [i] | ||
| 15 | No OA(526, 28, S5, 25) | [i] | ||
| 16 | No OA(527, 29, S5, 26) | [i] | ||
| 17 | No OA(528, 30, S5, 27) | [i] | ||
| 18 | No OA(529, 31, S5, 28) | [i] | ||
| 19 | No OA(530, 32, S5, 29) | [i] | ||
| 20 | No OA(531, 33, S5, 30) | [i] | ||
| 21 | No OA(532, 34, S5, 31) | [i] | ||
| 22 | No OA(533, 35, S5, 32) | [i] | ||
| 23 | No OA(534, 36, S5, 33) | [i] | ||
| 24 | No OA(535, 37, S5, 34) | [i] | ||
| 25 | No OA(536, 38, S5, 35) | [i] | ||
| 26 | No OA(537, 39, S5, 36) | [i] | ||
| 27 | No OA(538, 40, S5, 37) | [i] | ||
| 28 | No OA(539, 41, S5, 38) | [i] | ||
| 29 | No OA(540, 42, S5, 39) | [i] | ||
| 30 | No OA(541, 43, S5, 40) | [i] | ||
| 31 | No OA(542, 44, S5, 41) | [i] | ||
| 32 | No OA(543, 45, S5, 42) | [i] | ||
| 33 | No OA(544, 46, S5, 43) | [i] | ||
| 34 | No OA(545, 47, S5, 44) | [i] | ||
| 35 | No OA(546, 48, S5, 45) | [i] | ||
| 36 | No OA(547, 49, S5, 46) | [i] | ||
| 37 | No OA(548, 50, S5, 47) | [i] | ||
| 38 | No OA(549, 51, S5, 48) | [i] | ||
| 39 | No OA(550, 52, S5, 49) | [i] | ||
| 40 | No OA(551, 53, S5, 50) | [i] | ||
| 41 | No OA(552, 54, S5, 51) | [i] | ||
| 42 | No OA(553, 55, S5, 52) | [i] | ||
| 43 | No OA(554, 56, S5, 53) | [i] | ||
| 44 | No OA(555, 57, S5, 54) | [i] | ||
| 45 | No OA(556, 58, S5, 55) | [i] | ||
| 46 | No OA(557, 59, S5, 56) | [i] | ||
| 47 | No OA(558, 60, S5, 57) | [i] | ||
| 48 | No OA(559, 61, S5, 58) | [i] | ||
| 49 | No OA(560, 62, S5, 59) | [i] | ||
| 50 | No OA(561, 63, S5, 60) | [i] | ||
| 51 | No OA(562, 64, S5, 61) | [i] | ||
| 52 | No OA(563, 65, S5, 62) | [i] | ||
| 53 | No OA(564, 66, S5, 63) | [i] | ||
| 54 | No OA(565, 67, S5, 64) | [i] | ||
| 55 | No OA(566, 68, S5, 65) | [i] | ||
| 56 | No OA(567, 69, S5, 66) | [i] | ||
| 57 | No OA(568, 70, S5, 67) | [i] | ||
| 58 | No OA(569, 71, S5, 68) | [i] | ||
| 59 | No OA(570, 72, S5, 69) | [i] | ||
| 60 | No OA(571, 73, S5, 70) | [i] | ||
| 61 | No OA(572, 74, S5, 71) | [i] | ||
| 62 | No OA(573, 75, S5, 72) | [i] | ||
| 63 | No OA(574, 76, S5, 73) | [i] | ||
| 64 | No OA(575, 77, S5, 74) | [i] | ||
| 65 | No OA(576, 78, S5, 75) | [i] | ||
| 66 | No OA(577, 79, S5, 76) | [i] | ||
| 67 | No OA(578, 80, S5, 77) | [i] | ||
| 68 | No OA(579, 81, S5, 78) | [i] | ||
| 69 | No OA(580, 82, S5, 79) | [i] | ||
| 70 | No OA(581, 83, S5, 80) | [i] | ||
| 71 | No OA(582, 84, S5, 81) | [i] | ||
| 72 | No OA(583, 85, S5, 82) | [i] | ||
| 73 | No OA(584, 86, S5, 83) | [i] | ||
| 74 | No OA(585, 87, S5, 84) | [i] | ||
| 75 | No OA(586, 88, S5, 85) | [i] | ||
| 76 | No OA(587, 89, S5, 86) | [i] | ||
| 77 | No OA(588, 90, S5, 87) | [i] | ||
| 78 | No OA(589, 91, S5, 88) | [i] | ||
| 79 | No OA(590, 92, S5, 89) | [i] | ||
| 80 | No OA(591, 93, S5, 90) | [i] | ||
| 81 | No OA(592, 94, S5, 91) | [i] | ||
| 82 | No OA(593, 95, S5, 92) | [i] | ||
| 83 | No OA(594, 96, S5, 93) | [i] | ||
| 84 | No OA(595, 97, S5, 94) | [i] | ||
| 85 | No OA(596, 98, S5, 95) | [i] | ||
| 86 | No OA(597, 99, S5, 96) | [i] | ||
| 87 | No OA(598, 100, S5, 97) | [i] | ||
| 88 | No OA(599, 101, S5, 98) | [i] | ||
| 89 | No OA(5100, 102, S5, 99) | [i] | ||
| 90 | No OA(5101, 103, S5, 100) | [i] | ||
| 91 | No OA(5102, 104, S5, 101) | [i] | ||
| 92 | No OA(5103, 105, S5, 102) | [i] | ||
| 93 | No OA(5104, 106, S5, 103) | [i] | ||
| 94 | No OA(5105, 107, S5, 104) | [i] | ||
| 95 | No OA(5106, 108, S5, 105) | [i] | ||
| 96 | No OA(5107, 109, S5, 106) | [i] | ||
| 97 | No OA(5108, 110, S5, 107) | [i] | ||
| 98 | No OA(5109, 111, S5, 108) | [i] | ||
| 99 | No OA(5110, 112, S5, 109) | [i] | ||
| 100 | No OA(5111, 113, S5, 110) | [i] | ||
| 101 | No OA(5112, 114, S5, 111) | [i] | ||
| 102 | No OA(5113, 115, S5, 112) | [i] | ||
| 103 | No OA(5114, 116, S5, 113) | [i] | ||
| 104 | No OA(5115, 117, S5, 114) | [i] | ||
| 105 | No OA(5116, 118, S5, 115) | [i] | ||
| 106 | No OA(5117, 119, S5, 116) | [i] | ||
| 107 | No OA(5118, 120, S5, 117) | [i] | ||
| 108 | No OA(5119, 121, S5, 118) | [i] | ||
| 109 | No OA(5120, 122, S5, 119) | [i] | ||
| 110 | No OA(5121, 123, S5, 120) | [i] | ||
| 111 | No OA(5122, 124, S5, 121) | [i] | ||
| 112 | No OA(5123, 125, S5, 122) | [i] | ||
| 113 | No OA(5124, 126, S5, 123) | [i] | ||
| 114 | No OA(5125, 127, S5, 124) | [i] | ||
| 115 | No OA(5126, 128, S5, 125) | [i] | ||
| 116 | No OA(5127, 129, S5, 126) | [i] | ||
| 117 | No OA(5128, 130, S5, 127) | [i] | ||
| 118 | No OA(5129, 131, S5, 128) | [i] | ||
| 119 | No OA(5130, 132, S5, 129) | [i] | ||
| 120 | No OA(5131, 133, S5, 130) | [i] | ||
| 121 | No OA(5132, 134, S5, 131) | [i] | ||
| 122 | No OA(5133, 135, S5, 132) | [i] | ||
| 123 | No OA(5134, 136, S5, 133) | [i] | ||
| 124 | No OA(5135, 137, S5, 134) | [i] | ||
| 125 | No OA(5136, 138, S5, 135) | [i] | ||
| 126 | No OA(5137, 139, S5, 136) | [i] | ||
| 127 | No OA(5138, 140, S5, 137) | [i] | ||
| 128 | No OA(5139, 141, S5, 138) | [i] | ||
| 129 | No OA(5140, 142, S5, 139) | [i] | ||
| 130 | No OA(5141, 143, S5, 140) | [i] | ||
| 131 | No OA(5142, 144, S5, 141) | [i] | ||
| 132 | No OA(5143, 145, S5, 142) | [i] | ||
| 133 | No OA(5144, 146, S5, 143) | [i] | ||
| 134 | No OA(5145, 147, S5, 144) | [i] | ||
| 135 | No OA(5146, 148, S5, 145) | [i] | ||
| 136 | No OA(5147, 149, S5, 146) | [i] | ||
| 137 | No OA(5148, 150, S5, 147) | [i] | ||
| 138 | No OA(5149, 151, S5, 148) | [i] | ||
| 139 | No OA(5150, 152, S5, 149) | [i] | ||
| 140 | No OOA(537, 13, S5, 3, 36) | [i] | m-Reduction for OOAs | |
| 141 | No OOA(511, 13, S5, 2, 10) | [i] | Depth Reduction | |
| 142 | No linear OA(512, 17, F5, 10) (dual of [17, 5, 11]-code) | [i] | Construction Y1 (Bound) | |