Information on Result #676896
Linear OA(3235, 804, F3, 53) (dual of [804, 569, 54]-code), using construction X applied to Ce(52) ⊂ Ce(40) based on
- linear OA(3208, 729, F3, 53) (dual of [729, 521, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(3160, 729, F3, 41) (dual of [729, 569, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(327, 75, F3, 11) (dual of [75, 48, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(327, 80, F3, 11) (dual of [80, 53, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(327, 80, F3, 11) (dual of [80, 53, 12]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3236, 805, F3, 53) (dual of [805, 569, 54]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3237, 806, F3, 53) (dual of [806, 569, 54]-code) | [i] | ||
| 3 | Linear OOA(3235, 402, F3, 2, 53) (dual of [(402, 2), 569, 54]-NRT-code) | [i] | OOA Folding | |