Information on Result #737548
Linear OA(5145, 15655, F5, 29) (dual of [15655, 15510, 30]-code), using construction X applied to Ce(28) ⊂ Ce(23) based on
- linear OA(5139, 15625, F5, 29) (dual of [15625, 15486, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(5115, 15625, F5, 24) (dual of [15625, 15510, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(5146, 15656, F5, 29) (dual of [15656, 15510, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5145, 7827, F5, 2, 29) (dual of [(7827, 2), 15509, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5145, 5218, F5, 3, 29) (dual of [(5218, 3), 15509, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(5145, 1118, F5, 29, 29) (dual of [(1118, 29), 32277, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |