Information on Result #737000
Linear OA(3124, 6604, F3, 22) (dual of [6604, 6480, 23]-code), using construction X applied to Ce(21) ⊂ Ce(15) 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(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 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 OA(3123, 6603, F3, 21) (dual of [6603, 6480, 22]-code) | [i] | Truncation | |
| 2 | Linear OOA(3124, 3302, F3, 2, 22) (dual of [(3302, 2), 6480, 23]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3124, 2201, F3, 3, 22) (dual of [(2201, 3), 6479, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(3124, 1651, F3, 4, 22) (dual of [(1651, 4), 6480, 23]-NRT-code) | [i] | ||