Information on Result #675540
Linear OA(3121, 6593, F3, 22) (dual of [6593, 6472, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) 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(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(38, 32, F3, 4) (dual of [32, 24, 5]-code), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-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(3121, 3296, F3, 2, 22) (dual of [(3296, 2), 6471, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3121, 2197, F3, 3, 22) (dual of [(2197, 3), 6470, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(3121, 1648, F3, 4, 22) (dual of [(1648, 4), 6471, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(3121, 1318, F3, 5, 22) (dual of [(1318, 5), 6469, 23]-NRT-code) | [i] | ||