Information on Result #1647261
Linear OOA(3189, 25557, F3, 5, 27) (dual of [(25557, 5), 127596, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3189, 25557, F3, 2, 27) (dual of [(25557, 2), 50925, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3189, 29545, F3, 2, 27) (dual of [(29545, 2), 58901, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3189, 59090, F3, 27) (dual of [59090, 58901, 28]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3189, 59090, F3, 27) (dual of [59090, 58901, 28]-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(3189, 8518, F3, 35, 27) (dual of [(8518, 35), 297941, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |