Information on Result #627671
Linear OA(324, 30, F3, 16) (dual of [30, 6, 17]-code), using residual code based on 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 [i]
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(380, 86, F3, 52) (dual of [86, 6, 53]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(3103, 110, F3, 66) (dual of [110, 7, 67]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(3107, 114, F3, 69) (dual of [114, 7, 70]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 4 | Linear OA(3192, 199, F3, 123) (dual of [199, 7, 124]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 5 | Linear OA(3108, 115, F3, 70) (dual of [115, 7, 71]-code) | [i] | ||
| 6 | Linear OA(3229, 267, F3, 109) (dual of [267, 38, 110]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(3229, 266, F3, 110) (dual of [266, 37, 111]-code) | [i] | ||
| 8 | Linear OA(3230, 268, F3, 110) (dual of [268, 38, 111]-code) | [i] | ||
| 9 | Linear OA(3230, 267, F3, 111) (dual of [267, 37, 112]-code) | [i] | ||
| 10 | Linear OOA(324, 15, F3, 2, 16) (dual of [(15, 2), 6, 17]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(324, 10, F3, 3, 16) (dual of [(10, 3), 6, 17]-NRT-code) | [i] | ||