Information on Result #674383
Linear OA(3118, 1594336, F3, 14) (dual of [1594336, 1594218, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(3118, 1594323, F3, 14) (dual of [1594323, 1594205, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3105, 1594323, F3, 13) (dual of [1594323, 1594218, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 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 OOA(3118, 797168, F3, 2, 14) (dual of [(797168, 2), 1594218, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3118, 531445, F3, 3, 14) (dual of [(531445, 3), 1594217, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3118, 398584, F3, 4, 14) (dual of [(398584, 4), 1594218, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3118, 318867, F3, 5, 14) (dual of [(318867, 5), 1594217, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3118, 227762, F3, 14, 14) (dual of [(227762, 14), 3188550, 15]-NRT-code) | [i] | OA Folding and Stacking | |