Information on Result #1609194
Linear OOA(3207, 9862, F3, 4, 33) (dual of [(9862, 4), 39241, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3207, 9862, F3, 2, 33) (dual of [(9862, 2), 19517, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3207, 19724, F3, 33) (dual of [19724, 19517, 34]-code), using
- construction X applied to Ce(33) ⊂ Ce(27) [i] based on
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(33) ⊂ Ce(27) [i] based on
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(3207, 2465, F3, 36, 33) (dual of [(2465, 36), 88533, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |