Information on Result #676894
Linear OA(3241, 804, F3, 55) (dual of [804, 563, 56]-code), using construction X applied to Ce(55) ⊂ Ce(42) based on
- linear OA(3214, 729, F3, 56) (dual of [729, 515, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3166, 729, F3, 43) (dual of [729, 563, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(3240, 803, F3, 54) (dual of [803, 563, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(3241, 402, F3, 2, 55) (dual of [(402, 2), 563, 56]-NRT-code) | [i] | OOA Folding | |