Information on Result #737554
Linear OA(5109, 15655, F5, 22) (dual of [15655, 15546, 23]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
- linear OA(5103, 15625, F5, 22) (dual of [15625, 15522, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 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 OA(5110, 15656, F5, 22) (dual of [15656, 15546, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5109, 7827, F5, 2, 22) (dual of [(7827, 2), 15545, 23]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5109, 5218, F5, 3, 22) (dual of [(5218, 3), 15545, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(5109, 1423, F5, 22, 22) (dual of [(1423, 22), 31197, 23]-NRT-code) | [i] | OA Folding and Stacking | |