Information on Result #737550
Linear OA(5133, 15655, F5, 27) (dual of [15655, 15522, 28]-code), using construction X applied to Ce(26) ⊂ Ce(21) based on
- linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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(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(5134, 15656, F5, 27) (dual of [15656, 15522, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5133, 7827, F5, 2, 27) (dual of [(7827, 2), 15521, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5133, 5218, F5, 3, 27) (dual of [(5218, 3), 15521, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(5133, 1204, F5, 27, 27) (dual of [(1204, 27), 32375, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |