Information on Result #612339
Linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50
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(374, 81, F3, 49) (dual of [81, 7, 50]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(374, 81, F3, 48) (dual of [81, 7, 49]-code) | [i] | ||
| 3 | Linear OA(372, 79, F3, 48) (dual of [79, 7, 49]-code) | [i] | Truncation | |
| 4 | Linear OA(371, 78, F3, 47) (dual of [78, 7, 48]-code) | [i] | ||
| 5 | Linear OA(370, 77, F3, 46) (dual of [77, 7, 47]-code) | [i] | ||
| 6 | Linear OA(369, 76, F3, 45) (dual of [76, 7, 46]-code) | [i] | ||
| 7 | Linear OA(368, 75, F3, 44) (dual of [75, 7, 45]-code) | [i] | ||
| 8 | Linear OA(367, 74, F3, 43) (dual of [74, 7, 44]-code) | [i] | ||
| 9 | Linear OA(366, 73, F3, 42) (dual of [73, 7, 43]-code) | [i] | ||
| 10 | Linear OA(381, 88, F3, 51) (dual of [88, 7, 52]-code) | [i] | Juxtaposition | |
| 11 | Linear OA(382, 89, F3, 52) (dual of [89, 7, 53]-code) | [i] | ||
| 12 | Linear OA(384, 91, F3, 53) (dual of [91, 7, 54]-code) | [i] | ||
| 13 | Linear OA(386, 93, F3, 54) (dual of [93, 7, 55]-code) | [i] | ||
| 14 | Linear OA(387, 94, F3, 55) (dual of [94, 7, 56]-code) | [i] | ||
| 15 | Linear OA(388, 95, F3, 56) (dual of [95, 7, 57]-code) | [i] | ||
| 16 | Linear OA(391, 98, F3, 57) (dual of [98, 7, 58]-code) | [i] | ||
| 17 | Linear OA(392, 99, F3, 58) (dual of [99, 7, 59]-code) | [i] | ||
| 18 | Linear OA(393, 100, F3, 59) (dual of [100, 7, 60]-code) | [i] | ||
| 19 | Linear OA(396, 103, F3, 60) (dual of [103, 7, 61]-code) | [i] | ||
| 20 | Linear OA(397, 104, F3, 61) (dual of [104, 7, 62]-code) | [i] | ||
| 21 | Linear OA(398, 105, F3, 62) (dual of [105, 7, 63]-code) | [i] | ||
| 22 | Linear OA(399, 106, F3, 63) (dual of [106, 7, 64]-code) | [i] | ||
| 23 | Linear OA(3100, 107, F3, 64) (dual of [107, 7, 65]-code) | [i] | ||
| 24 | Linear OA(3101, 108, F3, 65) (dual of [108, 7, 66]-code) | [i] | ||
| 25 | Linear OA(3114, 121, F3, 72) (dual of [121, 7, 73]-code) | [i] | ||
| 26 | Linear OA(3115, 122, F3, 73) (dual of [122, 7, 74]-code) | [i] | ||
| 27 | Linear OA(3116, 123, F3, 74) (dual of [123, 7, 75]-code) | [i] | ||
| 28 | Linear OA(3131, 138, F3, 81) (dual of [138, 7, 82]-code) | [i] | ||
| 29 | Linear OA(3132, 139, F3, 82) (dual of [139, 7, 83]-code) | [i] | ||
| 30 | Linear OA(3133, 140, F3, 83) (dual of [140, 7, 84]-code) | [i] | ||
| 31 | Linear OA(3135, 142, F3, 84) (dual of [142, 7, 85]-code) | [i] | ||
| 32 | Linear OA(3136, 143, F3, 85) (dual of [143, 7, 86]-code) | [i] | ||
| 33 | Linear OA(3137, 144, F3, 86) (dual of [144, 7, 87]-code) | [i] | ||
| 34 | Linear OA(3192, 199, F3, 122) (dual of [199, 7, 123]-code) | [i] | ||
| 35 | Linear OA(3203, 210, F3, 128) (dual of [210, 7, 129]-code) | [i] | ||
| 36 | Linear OA(3242, 249, F3, 158) (dual of [249, 7, 159]-code) | [i] | ||
| 37 | Linear OA(3199, 206, F3, 128) (dual of [206, 7, 129]-code) | [i] | ||
| 38 | Linear OA(3174, 181, F3, 113) (dual of [181, 7, 114]-code) | [i] | ||
| 39 | Linear OA(3178, 185, F3, 116) (dual of [185, 7, 117]-code) | [i] | ||
| 40 | Linear OA(3182, 189, F3, 119) (dual of [189, 7, 120]-code) | [i] | ||
| 41 | Linear OA(3186, 193, F3, 122) (dual of [193, 7, 123]-code) | [i] | ||
| 42 | Linear OA(324, 30, F3, 16) (dual of [30, 6, 17]-code) | [i] | Residual Code | |
| 43 | Linear OA(3124, 131, F3, 80) (dual of [131, 7, 81]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 44 | Linear OA(3114, 121, F3, 74) (dual of [121, 7, 75]-code) | [i] | ✔ | |
| 45 | Linear OA(3110, 117, F3, 71) (dual of [117, 7, 72]-code) | [i] | ✔ | |
| 46 | Linear OA(3100, 107, F3, 65) (dual of [107, 7, 66]-code) | [i] | ✔ | |
| 47 | Linear OA(392, 99, F3, 59) (dual of [99, 7, 60]-code) | [i] | ✔ | |
| 48 | Linear OA(386, 93, F3, 56) (dual of [93, 7, 57]-code) | [i] | ✔ | |
| 49 | Linear OA(3118, 125, F3, 77) (dual of [125, 7, 78]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 50 | Linear OA(3108, 115, F3, 70) (dual of [115, 7, 71]-code) | [i] | ✔ | |
| 51 | Linear OA(3104, 111, F3, 68) (dual of [111, 7, 69]-code) | [i] | ✔ | |
| 52 | Linear OA(396, 103, F3, 62) (dual of [103, 7, 63]-code) | [i] | ✔ | |
| 53 | Linear OA(390, 97, F3, 59) (dual of [97, 7, 60]-code) | [i] | ✔ | |
| 54 | Linear OA(3113, 119, F3, 74) (dual of [119, 6, 75]-code) | [i] | ✔ | |
| 55 | Linear OA(389, 95, F3, 59) (dual of [95, 6, 60]-code) | [i] | ✔ | |
| 56 | Linear OA(384, 90, F3, 55) (dual of [90, 6, 56]-code) | [i] | ✔ | |
| 57 | Linear OA(386, 96, F3, 52) (dual of [96, 10, 53]-code) | [i] | ✔ | |
| 58 | Linear OA(386, 95, F3, 53) (dual of [95, 9, 54]-code) | [i] | ✔ | |
| 59 | Linear OA(385, 93, F3, 53) (dual of [93, 8, 54]-code) | [i] | ✔ | |
| 60 | Linear OA(383, 91, F3, 52) (dual of [91, 8, 53]-code) | [i] | ✔ | |
| 61 | Linear OA(384, 97, F3, 50) (dual of [97, 13, 51]-code) | [i] | ✔ | |
| 62 | Linear OA(383, 95, F3, 50) (dual of [95, 12, 51]-code) | [i] | ✔ | |
| 63 | Linear OA(378, 90, F3, 46) (dual of [90, 12, 47]-code) | [i] | ✔ | |
| 64 | Linear OA(387, 103, F3, 50) (dual of [103, 16, 51]-code) | [i] | ✔ | |
| 65 | Linear OA(383, 99, F3, 47) (dual of [99, 16, 48]-code) | [i] | ✔ | |
| 66 | Linear OA(380, 96, F3, 45) (dual of [96, 16, 46]-code) | [i] | ✔ | |
| 67 | Linear OOA(374, 27, F3, 3, 50) (dual of [(27, 3), 7, 51]-NRT-code) | [i] | OOA Folding | |