Information on Result #675538
Linear OA(3127, 6591, F3, 23) (dual of [6591, 6464, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3128, 6592, F3, 23) (dual of [6592, 6464, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3127, 3295, F3, 2, 23) (dual of [(3295, 2), 6463, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3127, 2197, F3, 3, 23) (dual of [(2197, 3), 6464, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3127, 1647, F3, 4, 23) (dual of [(1647, 4), 6461, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(3127, 1318, F3, 5, 23) (dual of [(1318, 5), 6463, 24]-NRT-code) | [i] | ||