Information on Result #611781
Linear OA(346, 122, F3, 16) (dual of [122, 76, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(346, 122, F3, 15) (dual of [122, 76, 16]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(347, 123, F3, 16) (dual of [123, 76, 17]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(344, 120, F3, 14) (dual of [120, 76, 15]-code) | [i] | Truncation | |
| 4 | Linear OA(350, 136, F3, 16) (dual of [136, 86, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(351, 127, F3, 17) (dual of [127, 76, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(347, 128, F3, 15) (dual of [128, 81, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(348, 126, F3, 16) (dual of [126, 78, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(349, 130, F3, 16) (dual of [130, 81, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(357, 133, F3, 18) (dual of [133, 76, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(359, 135, F3, 19) (dual of [135, 76, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(358, 130, F3, 19) (dual of [130, 72, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(355, 133, F3, 17) (dual of [133, 78, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(354, 131, F3, 17) (dual of [131, 77, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(349, 131, F3, 15) (dual of [131, 82, 16]-code) | [i] | ✔ | |
| 15 | Linear OOA(346, 61, F3, 2, 16) (dual of [(61, 2), 76, 17]-NRT-code) | [i] | OOA Folding | |