Information on Result #677710
Linear OA(376, 81, F3, 53) (dual of [81, 5, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(376, 81, F3, 52) (dual of [81, 5, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(377, 82, F3, 53) (dual of [82, 5, 54]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(375, 80, F3, 52) (dual of [80, 5, 53]-code) | [i] | Truncation | |
| 4 | Linear OA(374, 79, F3, 51) (dual of [79, 5, 52]-code) | [i] | ||
| 5 | Linear OA(373, 78, F3, 50) (dual of [78, 5, 51]-code) | [i] | ||
| 6 | Linear OA(372, 77, F3, 49) (dual of [77, 5, 50]-code) | [i] | ||
| 7 | Linear OA(371, 76, F3, 48) (dual of [76, 5, 49]-code) | [i] | ||
| 8 | Linear OA(381, 86, F3, 54) (dual of [86, 5, 55]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(382, 87, F3, 55) (dual of [87, 5, 56]-code) | [i] | ||
| 10 | Linear OA(384, 89, F3, 56) (dual of [89, 5, 57]-code) | [i] | ||
| 11 | Linear OA(385, 90, F3, 57) (dual of [90, 5, 58]-code) | [i] | ||
| 12 | Linear OA(386, 91, F3, 58) (dual of [91, 5, 59]-code) | [i] | ||
| 13 | Linear OA(387, 92, F3, 59) (dual of [92, 5, 60]-code) | [i] | ||
| 14 | Linear OA(3129, 134, F3, 87) (dual of [134, 5, 88]-code) | [i] | ||
| 15 | Linear OA(3130, 135, F3, 88) (dual of [135, 5, 89]-code) | [i] | ||
| 16 | Linear OA(3131, 136, F3, 89) (dual of [136, 5, 90]-code) | [i] | ||
| 17 | Linear OA(381, 86, F3, 55) (dual of [86, 5, 56]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(386, 91, F3, 59) (dual of [91, 5, 60]-code) | [i] | ✔ | |
| 19 | Linear OA(3118, 125, F3, 77) (dual of [125, 7, 78]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(3108, 115, F3, 70) (dual of [115, 7, 71]-code) | [i] | ✔ | |
| 21 | Linear OA(3104, 111, F3, 68) (dual of [111, 7, 69]-code) | [i] | ✔ | |
| 22 | Linear OA(396, 103, F3, 62) (dual of [103, 7, 63]-code) | [i] | ✔ | |
| 23 | Linear OA(390, 97, F3, 59) (dual of [97, 7, 60]-code) | [i] | ✔ | |
| 24 | Linear OA(3113, 119, F3, 74) (dual of [119, 6, 75]-code) | [i] | ✔ | |
| 25 | Linear OA(389, 95, F3, 59) (dual of [95, 6, 60]-code) | [i] | ✔ | |
| 26 | Linear OA(384, 90, F3, 55) (dual of [90, 6, 56]-code) | [i] | ✔ | |
| 27 | Linear OA(386, 96, F3, 52) (dual of [96, 10, 53]-code) | [i] | ✔ | |
| 28 | Linear OA(386, 95, F3, 53) (dual of [95, 9, 54]-code) | [i] | ✔ | |
| 29 | Linear OA(385, 93, F3, 53) (dual of [93, 8, 54]-code) | [i] | ✔ | |
| 30 | Linear OA(383, 91, F3, 52) (dual of [91, 8, 53]-code) | [i] | ✔ | |
| 31 | Linear OA(395, 110, F3, 53) (dual of [110, 15, 54]-code) | [i] | ✔ | |
| 32 | Linear OA(393, 108, F3, 52) (dual of [108, 15, 53]-code) | [i] | ✔ | |
| 33 | Linear OA(392, 106, F3, 52) (dual of [106, 14, 53]-code) | [i] | ✔ | |
| 34 | Linear OA(392, 105, F3, 53) (dual of [105, 13, 54]-code) | [i] | ✔ | |
| 35 | Linear OA(391, 103, F3, 53) (dual of [103, 12, 54]-code) | [i] | ✔ | |
| 36 | Linear OOA(376, 27, F3, 3, 53) (dual of [(27, 3), 5, 54]-NRT-code) | [i] | OOA Folding | |