Information on Result #682812
Linear OA(5108, 15649, F5, 22) (dual of [15649, 15541, 23]-code), using construction XX applied to Ce(21) ⊂ Ce(17) ⊂ 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(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(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(54, 23, F5, 3) (dual of [23, 19, 4]-code or 23-cap in PG(3,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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 OOA(5108, 11382, F5, 2, 22) (dual of [(11382, 2), 22656, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5108, 11382, F5, 3, 22) (dual of [(11382, 3), 34038, 23]-NRT-code) | [i] | ||
| 3 | Digital (86, 108, 11382)-net over F5 | [i] | ||
| 4 | Linear OOA(5108, 7824, F5, 2, 22) (dual of [(7824, 2), 15540, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5108, 5216, F5, 3, 22) (dual of [(5216, 3), 15540, 23]-NRT-code) | [i] | ||