Information on Result #700864
Linear OA(362, 138, F3, 20) (dual of [138, 76, 21]-code), using construction X applied to C({1,5,7,11,13,16,17,19,25,31,35}) ⊂ C({1,5,7,11,13,16,17,19,25}) based on
- linear OA(355, 121, F3, 20) (dual of [121, 66, 21]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,5,7,11,13,16,17,19,25,31,35}, and minimum distance d ≥ |{1,3,5,…,39}|+1 = 21 (BCH-bound) [i]
- linear OA(345, 121, F3, 15) (dual of [121, 76, 16]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,5,7,11,13,16,17,19,25}, and minimum distance d ≥ |{1,3,5,…,29}|+1 = 16 (BCH-bound) [i]
- linear OA(37, 17, F3, 4) (dual of [17, 10, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
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 OOA(362, 69, F3, 2, 20) (dual of [(69, 2), 76, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(362, 46, F3, 3, 20) (dual of [(46, 3), 76, 21]-NRT-code) | [i] | ||