Information on Result #613601
Linear OA(551, large, F5, 7) (dual of [large, large−51, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8
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(551, large, F5, 6) (dual of [large, large−51, 7]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(551, large, F5, 5) (dual of [large, large−51, 6]-code) | [i] | ||
| 3 | Linear OA(551, large, F5, 4) (dual of [large, large−51, 5]-code) | [i] | ||
| 4 | Linear OA(551, large, F5, 3) (dual of [large, large−51, 4]-code) | [i] | ||
| 5 | Linear OA(552, large, F5, 7) (dual of [large, large−52, 8]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(553, large, F5, 7) (dual of [large, large−53, 8]-code) | [i] | ||
| 7 | Linear OA(554, large, F5, 7) (dual of [large, large−54, 8]-code) | [i] | ||
| 8 | Linear OA(555, large, F5, 7) (dual of [large, large−55, 8]-code) | [i] | ||
| 9 | Linear OA(556, large, F5, 7) (dual of [large, large−56, 8]-code) | [i] | ||
| 10 | Linear OA(557, large, F5, 7) (dual of [large, large−57, 8]-code) | [i] | ||
| 11 | Linear OA(558, large, F5, 7) (dual of [large, large−58, 8]-code) | [i] | ||
| 12 | Linear OA(559, large, F5, 7) (dual of [large, large−59, 8]-code) | [i] | ||
| 13 | Linear OA(560, large, F5, 7) (dual of [large, large−60, 8]-code) | [i] | ||
| 14 | Linear OA(562, large, F5, 7) (dual of [large, large−62, 8]-code) | [i] | ||
| 15 | Linear OA(563, large, F5, 7) (dual of [large, large−63, 8]-code) | [i] | ||
| 16 | Linear OA(564, large, F5, 7) (dual of [large, large−64, 8]-code) | [i] | ||
| 17 | Linear OA(565, large, F5, 7) (dual of [large, large−65, 8]-code) | [i] | ||
| 18 | Linear OA(566, large, F5, 7) (dual of [large, large−66, 8]-code) | [i] | ||
| 19 | Linear OA(567, large, F5, 7) (dual of [large, large−67, 8]-code) | [i] | ||
| 20 | Linear OA(568, large, F5, 7) (dual of [large, large−68, 8]-code) | [i] | ||
| 21 | Linear OA(569, large, F5, 7) (dual of [large, large−69, 8]-code) | [i] | ||
| 22 | Linear OA(570, large, F5, 7) (dual of [large, large−70, 8]-code) | [i] | ||
| 23 | Linear OA(572, large, F5, 7) (dual of [large, large−72, 8]-code) | [i] | ||
| 24 | Linear OA(573, large, F5, 7) (dual of [large, large−73, 8]-code) | [i] | ||
| 25 | Linear OA(574, large, F5, 7) (dual of [large, large−74, 8]-code) | [i] | ||
| 26 | Linear OA(575, large, F5, 7) (dual of [large, large−75, 8]-code) | [i] | ||
| 27 | Linear OA(576, large, F5, 7) (dual of [large, large−76, 8]-code) | [i] | ||
| 28 | Linear OA(577, large, F5, 7) (dual of [large, large−77, 8]-code) | [i] | ||
| 29 | Linear OA(578, large, F5, 7) (dual of [large, large−78, 8]-code) | [i] | ||
| 30 | Linear OA(579, large, F5, 7) (dual of [large, large−79, 8]-code) | [i] | ||
| 31 | Linear OA(582, large, F5, 7) (dual of [large, large−82, 8]-code) | [i] | ||
| 32 | Linear OA(583, large, F5, 7) (dual of [large, large−83, 8]-code) | [i] | ||
| 33 | Linear OA(584, large, F5, 7) (dual of [large, large−84, 8]-code) | [i] | ||
| 34 | Linear OA(585, large, F5, 7) (dual of [large, large−85, 8]-code) | [i] | ||
| 35 | Linear OA(586, large, F5, 7) (dual of [large, large−86, 8]-code) | [i] | ||
| 36 | Linear OA(587, large, F5, 7) (dual of [large, large−87, 8]-code) | [i] | ||
| 37 | Linear OA(588, large, F5, 7) (dual of [large, large−88, 8]-code) | [i] | ||
| 38 | Linear OA(589, large, F5, 7) (dual of [large, large−89, 8]-code) | [i] | ||
| 39 | Linear OA(590, large, F5, 7) (dual of [large, large−90, 8]-code) | [i] | ||
| 40 | Linear OA(592, large, F5, 7) (dual of [large, large−92, 8]-code) | [i] | ||
| 41 | Linear OA(593, large, F5, 7) (dual of [large, large−93, 8]-code) | [i] | ||
| 42 | Linear OA(594, large, F5, 7) (dual of [large, large−94, 8]-code) | [i] | ||
| 43 | Linear OA(595, large, F5, 7) (dual of [large, large−95, 8]-code) | [i] | ||
| 44 | Linear OA(596, large, F5, 7) (dual of [large, large−96, 8]-code) | [i] | ||
| 45 | Linear OA(597, large, F5, 7) (dual of [large, large−97, 8]-code) | [i] | ||
| 46 | Linear OA(598, large, F5, 7) (dual of [large, large−98, 8]-code) | [i] | ||
| 47 | Linear OA(599, large, F5, 7) (dual of [large, large−99, 8]-code) | [i] | ||
| 48 | Linear OA(5100, large, F5, 7) (dual of [large, large−100, 8]-code) | [i] | ||
| 49 | Linear OA(5102, large, F5, 7) (dual of [large, large−102, 8]-code) | [i] | ||
| 50 | Linear OA(5103, large, F5, 7) (dual of [large, large−103, 8]-code) | [i] | ||
| 51 | Linear OA(5104, large, F5, 7) (dual of [large, large−104, 8]-code) | [i] | ||
| 52 | Linear OA(5105, large, F5, 7) (dual of [large, large−105, 8]-code) | [i] | ||
| 53 | Linear OA(5106, large, F5, 7) (dual of [large, large−106, 8]-code) | [i] | ||
| 54 | Linear OA(5107, large, F5, 7) (dual of [large, large−107, 8]-code) | [i] | ||
| 55 | Linear OA(5108, large, F5, 7) (dual of [large, large−108, 8]-code) | [i] | ||
| 56 | Linear OA(5109, large, F5, 7) (dual of [large, large−109, 8]-code) | [i] | ||
| 57 | Linear OA(5110, large, F5, 7) (dual of [large, large−110, 8]-code) | [i] | ||
| 58 | Linear OA(5112, large, F5, 7) (dual of [large, large−112, 8]-code) | [i] | ||
| 59 | Linear OA(5113, large, F5, 7) (dual of [large, large−113, 8]-code) | [i] | ||
| 60 | Linear OA(5114, large, F5, 7) (dual of [large, large−114, 8]-code) | [i] | ||
| 61 | Linear OA(5115, large, F5, 7) (dual of [large, large−115, 8]-code) | [i] | ||
| 62 | Linear OA(5116, large, F5, 7) (dual of [large, large−116, 8]-code) | [i] | ||
| 63 | Linear OA(5117, large, F5, 7) (dual of [large, large−117, 8]-code) | [i] | ||
| 64 | Linear OA(5118, large, F5, 7) (dual of [large, large−118, 8]-code) | [i] | ||
| 65 | Linear OA(5119, large, F5, 7) (dual of [large, large−119, 8]-code) | [i] | ||
| 66 | Linear OA(5122, large, F5, 7) (dual of [large, large−122, 8]-code) | [i] | ||
| 67 | Linear OA(5123, large, F5, 7) (dual of [large, large−123, 8]-code) | [i] | ||
| 68 | Linear OA(5124, large, F5, 7) (dual of [large, large−124, 8]-code) | [i] | ||
| 69 | Linear OA(5125, large, F5, 7) (dual of [large, large−125, 8]-code) | [i] | ||
| 70 | Linear OA(5126, large, F5, 7) (dual of [large, large−126, 8]-code) | [i] | ||
| 71 | Linear OA(5127, large, F5, 7) (dual of [large, large−127, 8]-code) | [i] | ||
| 72 | Linear OA(5128, large, F5, 7) (dual of [large, large−128, 8]-code) | [i] | ||
| 73 | Linear OA(5129, large, F5, 7) (dual of [large, large−129, 8]-code) | [i] | ||
| 74 | Linear OA(5130, large, F5, 7) (dual of [large, large−130, 8]-code) | [i] | ||
| 75 | Linear OA(5132, large, F5, 7) (dual of [large, large−132, 8]-code) | [i] | ||
| 76 | Linear OA(5133, large, F5, 7) (dual of [large, large−133, 8]-code) | [i] | ||
| 77 | Linear OA(5134, large, F5, 7) (dual of [large, large−134, 8]-code) | [i] | ||
| 78 | Linear OA(5135, large, F5, 7) (dual of [large, large−135, 8]-code) | [i] | ||
| 79 | Linear OA(5136, large, F5, 7) (dual of [large, large−136, 8]-code) | [i] | ||
| 80 | Linear OA(5137, large, F5, 7) (dual of [large, large−137, 8]-code) | [i] | ||
| 81 | Linear OA(5138, large, F5, 7) (dual of [large, large−138, 8]-code) | [i] | ||
| 82 | Linear OA(5139, large, F5, 7) (dual of [large, large−139, 8]-code) | [i] | ||
| 83 | Linear OA(5140, large, F5, 7) (dual of [large, large−140, 8]-code) | [i] | ||
| 84 | Linear OA(5142, large, F5, 7) (dual of [large, large−142, 8]-code) | [i] | ||
| 85 | Linear OA(5143, large, F5, 7) (dual of [large, large−143, 8]-code) | [i] | ||
| 86 | Linear OA(5144, large, F5, 7) (dual of [large, large−144, 8]-code) | [i] | ||
| 87 | Linear OA(5145, large, F5, 7) (dual of [large, large−145, 8]-code) | [i] | ||
| 88 | Linear OA(5146, large, F5, 7) (dual of [large, large−146, 8]-code) | [i] | ||
| 89 | Linear OA(5147, large, F5, 7) (dual of [large, large−147, 8]-code) | [i] | ||
| 90 | Linear OA(5148, large, F5, 7) (dual of [large, large−148, 8]-code) | [i] | ||
| 91 | Linear OA(5149, large, F5, 7) (dual of [large, large−149, 8]-code) | [i] | ||
| 92 | Linear OA(5150, large, F5, 7) (dual of [large, large−150, 8]-code) | [i] | ||
| 93 | Linear OOA(551, 6360278, F5, 2, 7) (dual of [(6360278, 2), 12720505, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 94 | Linear OOA(551, 6360278, F5, 3, 7) (dual of [(6360278, 3), 19080783, 8]-NRT-code) | [i] | ||
| 95 | Digital (44, 51, 6360278)-net over F5 | [i] | ||
| 96 | Linear OOA(551, 4194301, F5, 2, 7) (dual of [(4194301, 2), 8388551, 8]-NRT-code) | [i] | OOA Folding | |
| 97 | Linear OOA(551, 2796201, F5, 3, 7) (dual of [(2796201, 3), 8388552, 8]-NRT-code) | [i] | ||
| 98 | Linear OOA(551, 2796200, F5, 7, 7) (dual of [(2796200, 7), 19573349, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |