Information on Result #610831
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(521, 42, F5, 11) (dual of [42, 21, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(531, 138, F5, 11) (dual of [138, 107, 12]-code) | [i] | ||
| 3 | Linear OA(539, 638, F5, 11) (dual of [638, 599, 12]-code) | [i] | ||
| 4 | Linear OA(547, 3138, F5, 11) (dual of [3138, 3091, 12]-code) | [i] | ||
| 5 | Linear OA(555, 15638, F5, 11) (dual of [15638, 15583, 12]-code) | [i] | ||
| 6 | Linear OA(563, 78138, F5, 11) (dual of [78138, 78075, 12]-code) | [i] | ||
| 7 | Linear OA(571, 390638, F5, 11) (dual of [390638, 390567, 12]-code) | [i] | ||
| 8 | Linear OA(579, 1953138, F5, 11) (dual of [1953138, 1953059, 12]-code) | [i] | ||
| 9 | Linear OA(543, 50, F5, 29) (dual of [50, 7, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(537, 46, F5, 23) (dual of [46, 9, 24]-code) | [i] | ||
| 11 | Linear OA(536, 41, F5, 25) (dual of [41, 5, 26]-code) | [i] | Juxtaposition | |
| 12 | Linear OA(532, 36, F5, 25) (dual of [36, 4, 26]-code) | [i] | ||
| 13 | Linear OA(5147, 166, F5, 89) (dual of [166, 19, 90]-code) | [i] | Construction X with Cyclic Codes | |
| 14 | Linear OA(5117, 138, F5, 71) (dual of [138, 21, 72]-code) | [i] | ||
| 15 | Linear OA(528, 35, F5, 19) (dual of [35, 7, 20]-code) | [i] | ||
| 16 | Linear OA(527, 35, F5, 18) (dual of [35, 8, 19]-code) | [i] | ||
| 17 | Linear OA(526, 35, F5, 17) (dual of [35, 9, 18]-code) | [i] | ||
| 18 | Linear OA(531, 43, F5, 18) (dual of [43, 12, 19]-code) | [i] | ||
| 19 | Linear OA(534, 41, F5, 24) (dual of [41, 7, 25]-code) | [i] | ||
| 20 | Linear OA(540, 74, F5, 18) (dual of [74, 34, 19]-code) | [i] | ||
| 21 | Linear OA(528, 36, F5, 19) (dual of [36, 8, 20]-code) | [i] | Construction XX with Cyclic Codes | |
| 22 | Linear OA(527, 36, F5, 18) (dual of [36, 9, 19]-code) | [i] | ||
| 23 | Linear OA(526, 40, F5, 14) (dual of [40, 14, 15]-code) | [i] | ||
| 24 | Linear OA(525, 38, F5, 14) (dual of [38, 13, 15]-code) | [i] | ||
| 25 | Linear OA(531, 39, F5, 20) (dual of [39, 8, 21]-code) | [i] | ||
| 26 | Linear OA(530, 37, F5, 20) (dual of [37, 7, 21]-code) | [i] | ||
| 27 | Linear OA(541, 78, F5, 18) (dual of [78, 37, 19]-code) | [i] | ||
| 28 | Linear OA(529, 40, F5, 17) (dual of [40, 11, 18]-code) | [i] | ||
| 29 | Linear OA(5114, 139, F5, 69) (dual of [139, 25, 70]-code) | [i] | ||
| 30 | Linear OA(5122, 147, F5, 73) (dual of [147, 25, 74]-code) | [i] | ||
| 31 | Linear OA(5120, 142, F5, 73) (dual of [142, 22, 74]-code) | [i] | ||
| 32 | Linear OA(5125, 147, F5, 74) (dual of [147, 22, 75]-code) | [i] | ||
| 33 | Linear OA(5120, 139, F5, 74) (dual of [139, 19, 75]-code) | [i] | ||
| 34 | Linear OA(5128, 147, F5, 78) (dual of [147, 19, 79]-code) | [i] | ||
| 35 | Linear OA(529, 37, F5, 19) (dual of [37, 8, 20]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 36 | Linear OA(528, 37, F5, 18) (dual of [37, 9, 19]-code) | [i] | ||
| 37 | Linear OA(537, 44, F5, 24) (dual of [44, 7, 25]-code) | [i] | ||
| 38 | Linear OA(5130, 137, F5, 100) (dual of [137, 7, 101]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 39 | Linear OA(5127, 135, F5, 99) (dual of [135, 8, 100]-code) | [i] | ||
| 40 | Linear OA(5104, 137, F5, 54) (dual of [137, 33, 55]-code) | [i] | ||
| 41 | Linear OA(567, 137, F5, 29) (dual of [137, 70, 30]-code) | [i] | ||
| 42 | Linear OA(525, 37, F5, 14) (dual of [37, 12, 15]-code) | [i] | ||
| 43 | Linear OA(523, 37, F5, 13) (dual of [37, 14, 14]-code) | [i] | ||
| 44 | Linear OA(5105, 136, F5, 55) (dual of [136, 31, 56]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 45 | Linear OA(568, 136, F5, 30) (dual of [136, 68, 31]-code) | [i] | ||
| 46 | Linear OA(529, 38, F5, 19) (dual of [38, 9, 20]-code) | [i] | ||
| 47 | Linear OA(530, 40, F5, 18) (dual of [40, 10, 19]-code) | [i] | ||
| 48 | Linear OA(5100, 129, F5, 56) (dual of [129, 29, 57]-code) | [i] | Construction X with Varšamov Bound | |
| 49 | Linear OA(5101, 130, F5, 57) (dual of [130, 29, 58]-code) | [i] | ||
| 50 | Linear OA(5102, 132, F5, 57) (dual of [132, 30, 58]-code) | [i] | ||
| 51 | Linear OA(5102, 131, F5, 58) (dual of [131, 29, 59]-code) | [i] | ||
| 52 | Linear OA(5114, 143, F5, 65) (dual of [143, 29, 66]-code) | [i] | ||
| 53 | Linear OA(5115, 145, F5, 65) (dual of [145, 30, 66]-code) | [i] | ||
| 54 | Linear OA(5117, 145, F5, 67) (dual of [145, 28, 68]-code) | [i] | ||
| 55 | Linear OA(5118, 146, F5, 68) (dual of [146, 28, 69]-code) | [i] | ||
| 56 | Linear OA(5119, 148, F5, 68) (dual of [148, 29, 69]-code) | [i] | ||