Information on Result #1532727
Linear OOA(3242, 29565, F3, 3, 34) (dual of [(29565, 3), 88453, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3242, 29565, F3, 2, 34) (dual of [(29565, 2), 58888, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3242, 59130, F3, 34) (dual of [59130, 58888, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(24) [i] based on
- linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(321, 81, F3, 8) (dual of [81, 60, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- construction X applied to Ce(33) ⊂ Ce(24) [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(3242, 14782, F3, 5, 34) (dual of [(14782, 5), 73668, 35]-NRT-code) | [i] | OOA Folding | |