Information on Result #737560
Linear OA(573, 15655, F5, 14) (dual of [15655, 15582, 15]-code), using construction X applied to Ce(13) ⊂ Ce(8) based on
- linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(543, 15625, F5, 9) (dual of [15625, 15582, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(574, 15656, F5, 14) (dual of [15656, 15582, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(573, 15655, F5, 2, 14) (dual of [(15655, 2), 31237, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(573, 15655, F5, 3, 14) (dual of [(15655, 3), 46892, 15]-NRT-code) | [i] | ||
| 4 | Digital (59, 73, 15655)-net over F5 | [i] | ||
| 5 | Linear OA(574, 15657, F5, 14) (dual of [15657, 15583, 15]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(575, 15659, F5, 14) (dual of [15659, 15584, 15]-code) | [i] | ||
| 7 | Linear OOA(573, 7827, F5, 2, 14) (dual of [(7827, 2), 15581, 15]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(573, 5218, F5, 3, 14) (dual of [(5218, 3), 15581, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(573, 2236, F5, 14, 14) (dual of [(2236, 14), 31231, 15]-NRT-code) | [i] | OA Folding and Stacking | |