Information on Result #675438
Linear OA(357, 6569, F3, 11) (dual of [6569, 6512, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(358, 6570, F3, 11) (dual of [6570, 6512, 12]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(357, 3284, F3, 2, 11) (dual of [(3284, 2), 6511, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(357, 2189, F3, 3, 11) (dual of [(2189, 3), 6510, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(357, 1642, F3, 4, 11) (dual of [(1642, 4), 6511, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(357, 1313, F3, 5, 11) (dual of [(1313, 5), 6508, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(357, 1313, F3, 11, 11) (dual of [(1313, 11), 14386, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |