Information on Result #1605168
Linear OOA(3151, 19686, F3, 4, 23) (dual of [(19686, 4), 78593, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3151, 19686, F3, 3, 23) (dual of [(19686, 3), 58907, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3151, 59058, F3, 23) (dual of [59058, 58907, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, 59059, F3, 23) (dual of [59059, 58908, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(3151, 59049, F3, 23) (dual of [59049, 58898, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(30, 10, F3, 0) (dual of [10, 10, 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
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3151, 59059, F3, 23) (dual of [59059, 58908, 24]-code), using
Mode: 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(3152, 19686, F3, 4, 23) (dual of [(19686, 4), 78592, 24]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3151, 6561, F3, 28, 23) (dual of [(6561, 28), 183557, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |