Information on Result #1101782
Linear OOA(3207, 318877, F3, 5, 23) (dual of [(318877, 5), 1594178, 24]-NRT-code), using OOA 5-folding based on linear OA(3207, 1594385, F3, 23) (dual of [1594385, 1594178, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3207, 1594386, F3, 23) (dual of [1594386, 1594179, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- 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(3144, 1594323, F3, 17) (dual of [1594323, 1594179, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
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(3208, 318877, F3, 5, 23) (dual of [(318877, 5), 1594177, 24]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3209, 318877, F3, 5, 23) (dual of [(318877, 5), 1594176, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3210, 318877, F3, 5, 23) (dual of [(318877, 5), 1594175, 24]-NRT-code) | [i] | ||