Information on Result #1101658
Linear OOA(3123, 1320, F3, 5, 22) (dual of [(1320, 5), 6477, 23]-NRT-code), using OOA 5-folding based on linear OA(3123, 6600, F3, 22) (dual of [6600, 6477, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
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(3123, 1320, F3, 5, 21) (dual of [(1320, 5), 6477, 22]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3124, 1320, F3, 5, 22) (dual of [(1320, 5), 6476, 23]-NRT-code) | [i] | OOA Duplication |