Information on Result #613609
Linear OA(561, large, F5, 8) (dual of [large, large−61, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,7], 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(561, large, F5, 7) (dual of [large, large−61, 8]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(561, large, F5, 6) (dual of [large, large−61, 7]-code) | [i] | ||
| 3 | Linear OA(561, large, F5, 5) (dual of [large, large−61, 6]-code) | [i] | ||
| 4 | Linear OA(561, large, F5, 4) (dual of [large, large−61, 5]-code) | [i] | ||
| 5 | Linear OA(561, large, F5, 3) (dual of [large, large−61, 4]-code) | [i] | ||
| 6 | Linear OA(562, large, F5, 8) (dual of [large, large−62, 9]-code) | [i] | Code Embedding in Larger Space | |
| 7 | Linear OA(563, large, F5, 8) (dual of [large, large−63, 9]-code) | [i] | ||
| 8 | Linear OA(564, large, F5, 8) (dual of [large, large−64, 9]-code) | [i] | ||
| 9 | Linear OA(565, large, F5, 8) (dual of [large, large−65, 9]-code) | [i] | ||
| 10 | Linear OA(566, large, F5, 8) (dual of [large, large−66, 9]-code) | [i] | ||
| 11 | Linear OA(567, large, F5, 8) (dual of [large, large−67, 9]-code) | [i] | ||
| 12 | Linear OA(568, large, F5, 8) (dual of [large, large−68, 9]-code) | [i] | ||
| 13 | Linear OA(569, large, F5, 8) (dual of [large, large−69, 9]-code) | [i] | ||
| 14 | Linear OA(570, large, F5, 8) (dual of [large, large−70, 9]-code) | [i] | ||
| 15 | Linear OA(572, large, F5, 8) (dual of [large, large−72, 9]-code) | [i] | ||
| 16 | Linear OA(573, large, F5, 8) (dual of [large, large−73, 9]-code) | [i] | ||
| 17 | Linear OA(574, large, F5, 8) (dual of [large, large−74, 9]-code) | [i] | ||
| 18 | Linear OA(575, large, F5, 8) (dual of [large, large−75, 9]-code) | [i] | ||
| 19 | Linear OA(576, large, F5, 8) (dual of [large, large−76, 9]-code) | [i] | ||
| 20 | Linear OA(577, large, F5, 8) (dual of [large, large−77, 9]-code) | [i] | ||
| 21 | Linear OA(578, large, F5, 8) (dual of [large, large−78, 9]-code) | [i] | ||
| 22 | Linear OA(579, large, F5, 8) (dual of [large, large−79, 9]-code) | [i] | ||
| 23 | Linear OA(582, large, F5, 8) (dual of [large, large−82, 9]-code) | [i] | ||
| 24 | Linear OA(583, large, F5, 8) (dual of [large, large−83, 9]-code) | [i] | ||
| 25 | Linear OA(584, large, F5, 8) (dual of [large, large−84, 9]-code) | [i] | ||
| 26 | Linear OA(585, large, F5, 8) (dual of [large, large−85, 9]-code) | [i] | ||
| 27 | Linear OA(586, large, F5, 8) (dual of [large, large−86, 9]-code) | [i] | ||
| 28 | Linear OA(587, large, F5, 8) (dual of [large, large−87, 9]-code) | [i] | ||
| 29 | Linear OA(588, large, F5, 8) (dual of [large, large−88, 9]-code) | [i] | ||
| 30 | Linear OA(589, large, F5, 8) (dual of [large, large−89, 9]-code) | [i] | ||
| 31 | Linear OA(590, large, F5, 8) (dual of [large, large−90, 9]-code) | [i] | ||
| 32 | Linear OA(592, large, F5, 8) (dual of [large, large−92, 9]-code) | [i] | ||
| 33 | Linear OA(593, large, F5, 8) (dual of [large, large−93, 9]-code) | [i] | ||
| 34 | Linear OA(594, large, F5, 8) (dual of [large, large−94, 9]-code) | [i] | ||
| 35 | Linear OA(595, large, F5, 8) (dual of [large, large−95, 9]-code) | [i] | ||
| 36 | Linear OA(596, large, F5, 8) (dual of [large, large−96, 9]-code) | [i] | ||
| 37 | Linear OA(597, large, F5, 8) (dual of [large, large−97, 9]-code) | [i] | ||
| 38 | Linear OA(598, large, F5, 8) (dual of [large, large−98, 9]-code) | [i] | ||
| 39 | Linear OA(599, large, F5, 8) (dual of [large, large−99, 9]-code) | [i] | ||
| 40 | Linear OA(5100, large, F5, 8) (dual of [large, large−100, 9]-code) | [i] | ||
| 41 | Linear OA(5102, large, F5, 8) (dual of [large, large−102, 9]-code) | [i] | ||
| 42 | Linear OA(5103, large, F5, 8) (dual of [large, large−103, 9]-code) | [i] | ||
| 43 | Linear OA(5104, large, F5, 8) (dual of [large, large−104, 9]-code) | [i] | ||
| 44 | Linear OA(5105, large, F5, 8) (dual of [large, large−105, 9]-code) | [i] | ||
| 45 | Linear OA(5106, large, F5, 8) (dual of [large, large−106, 9]-code) | [i] | ||
| 46 | Linear OA(5107, large, F5, 8) (dual of [large, large−107, 9]-code) | [i] | ||
| 47 | Linear OA(5108, large, F5, 8) (dual of [large, large−108, 9]-code) | [i] | ||
| 48 | Linear OA(5109, large, F5, 8) (dual of [large, large−109, 9]-code) | [i] | ||
| 49 | Linear OA(5110, large, F5, 8) (dual of [large, large−110, 9]-code) | [i] | ||
| 50 | Linear OA(5112, large, F5, 8) (dual of [large, large−112, 9]-code) | [i] | ||
| 51 | Linear OA(5113, large, F5, 8) (dual of [large, large−113, 9]-code) | [i] | ||
| 52 | Linear OA(5114, large, F5, 8) (dual of [large, large−114, 9]-code) | [i] | ||
| 53 | Linear OA(5115, large, F5, 8) (dual of [large, large−115, 9]-code) | [i] | ||
| 54 | Linear OA(5116, large, F5, 8) (dual of [large, large−116, 9]-code) | [i] | ||
| 55 | Linear OA(5117, large, F5, 8) (dual of [large, large−117, 9]-code) | [i] | ||
| 56 | Linear OA(5118, large, F5, 8) (dual of [large, large−118, 9]-code) | [i] | ||
| 57 | Linear OA(5119, large, F5, 8) (dual of [large, large−119, 9]-code) | [i] | ||
| 58 | Linear OA(5122, large, F5, 8) (dual of [large, large−122, 9]-code) | [i] | ||
| 59 | Linear OA(5123, large, F5, 8) (dual of [large, large−123, 9]-code) | [i] | ||
| 60 | Linear OA(5124, large, F5, 8) (dual of [large, large−124, 9]-code) | [i] | ||
| 61 | Linear OA(5125, large, F5, 8) (dual of [large, large−125, 9]-code) | [i] | ||
| 62 | Linear OA(5126, large, F5, 8) (dual of [large, large−126, 9]-code) | [i] | ||
| 63 | Linear OA(5127, large, F5, 8) (dual of [large, large−127, 9]-code) | [i] | ||
| 64 | Linear OA(5128, large, F5, 8) (dual of [large, large−128, 9]-code) | [i] | ||
| 65 | Linear OA(5129, large, F5, 8) (dual of [large, large−129, 9]-code) | [i] | ||
| 66 | Linear OA(5130, large, F5, 8) (dual of [large, large−130, 9]-code) | [i] | ||
| 67 | Linear OA(5132, large, F5, 8) (dual of [large, large−132, 9]-code) | [i] | ||
| 68 | Linear OA(5133, large, F5, 8) (dual of [large, large−133, 9]-code) | [i] | ||
| 69 | Linear OA(5134, large, F5, 8) (dual of [large, large−134, 9]-code) | [i] | ||
| 70 | Linear OA(5135, large, F5, 8) (dual of [large, large−135, 9]-code) | [i] | ||
| 71 | Linear OA(5136, large, F5, 8) (dual of [large, large−136, 9]-code) | [i] | ||
| 72 | Linear OA(5137, large, F5, 8) (dual of [large, large−137, 9]-code) | [i] | ||
| 73 | Linear OA(5138, large, F5, 8) (dual of [large, large−138, 9]-code) | [i] | ||
| 74 | Linear OA(5139, large, F5, 8) (dual of [large, large−139, 9]-code) | [i] | ||
| 75 | Linear OA(5140, large, F5, 8) (dual of [large, large−140, 9]-code) | [i] | ||
| 76 | Linear OA(5142, large, F5, 8) (dual of [large, large−142, 9]-code) | [i] | ||
| 77 | Linear OA(5143, large, F5, 8) (dual of [large, large−143, 9]-code) | [i] | ||
| 78 | Linear OA(5144, large, F5, 8) (dual of [large, large−144, 9]-code) | [i] | ||
| 79 | Linear OA(5145, large, F5, 8) (dual of [large, large−145, 9]-code) | [i] | ||
| 80 | Linear OA(5146, large, F5, 8) (dual of [large, large−146, 9]-code) | [i] | ||
| 81 | Linear OA(5147, large, F5, 8) (dual of [large, large−147, 9]-code) | [i] | ||
| 82 | Linear OA(5148, large, F5, 8) (dual of [large, large−148, 9]-code) | [i] | ||
| 83 | Linear OA(5149, large, F5, 8) (dual of [large, large−149, 9]-code) | [i] | ||
| 84 | Linear OA(5150, large, F5, 8) (dual of [large, large−150, 9]-code) | [i] | ||
| 85 | Linear OOA(561, 7309067, F5, 2, 8) (dual of [(7309067, 2), 14618073, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 86 | Linear OOA(561, 7309067, F5, 3, 8) (dual of [(7309067, 3), 21927140, 9]-NRT-code) | [i] | ||
| 87 | Digital (53, 61, 7309067)-net over F5 | [i] | ||
| 88 | Linear OOA(561, 4194301, F5, 2, 8) (dual of [(4194301, 2), 8388541, 9]-NRT-code) | [i] | OOA Folding | |
| 89 | Linear OOA(561, 2796201, F5, 3, 8) (dual of [(2796201, 3), 8388542, 9]-NRT-code) | [i] | ||
| 90 | Linear OOA(561, 2097150, F5, 8, 8) (dual of [(2097150, 8), 16777139, 9]-NRT-code) | [i] | OA Folding and Stacking | |