Information on Result #972975
Linear OOA(5109, 5210, F5, 3, 23) (dual of [(5210, 3), 15521, 24]-NRT-code), using OOA 3-folding based on linear OA(5109, 15630, F5, 23) (dual of [15630, 15521, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(5109, 15631, F5, 23) (dual of [15631, 15522, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] 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(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(50, 6, F5, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
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(5123, 5226, F5, 3, 23) (dual of [(5226, 3), 15555, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5124, 5228, F5, 3, 23) (dual of [(5228, 3), 15560, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(5125, 5230, F5, 3, 23) (dual of [(5230, 3), 15565, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(5126, 5231, F5, 3, 23) (dual of [(5231, 3), 15567, 24]-NRT-code) | [i] | ||