Information on Result #674375
Linear OA(3210, 1594337, F3, 25) (dual of [1594337, 1594127, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) based on
- linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3196, 1594323, F3, 23) (dual of [1594323, 1594127, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3211, 1594338, F3, 25) (dual of [1594338, 1594127, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3212, 1594339, F3, 25) (dual of [1594339, 1594127, 26]-code) | [i] | ||
| 3 | Linear OA(3209, 1594336, F3, 24) (dual of [1594336, 1594127, 25]-code) | [i] | Truncation | |
| 4 | Linear OOA(3210, 797168, F3, 2, 25) (dual of [(797168, 2), 1594126, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3210, 531445, F3, 3, 25) (dual of [(531445, 3), 1594125, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(3210, 398584, F3, 4, 25) (dual of [(398584, 4), 1594126, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(3210, 318867, F3, 5, 25) (dual of [(318867, 5), 1594125, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(3210, 132861, F3, 25, 25) (dual of [(132861, 25), 3321315, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |