Information on Result #737553
Linear OA(5115, 15655, F5, 23) (dual of [15655, 15540, 24]-code), using construction X applied to Ce(22) ⊂ Ce(17) based on
- linear OA(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(5116, 15656, F5, 23) (dual of [15656, 15540, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5115, 7827, F5, 2, 23) (dual of [(7827, 2), 15539, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5115, 5218, F5, 3, 23) (dual of [(5218, 3), 15539, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(5115, 1423, F5, 23, 23) (dual of [(1423, 23), 32614, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |