Information on Result #972497
Linear OOA(579, 5210, F5, 3, 17) (dual of [(5210, 3), 15551, 18]-NRT-code), using OOA 3-folding based on linear OA(579, 15630, F5, 17) (dual of [15630, 15551, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(579, 15631, F5, 17) (dual of [15631, 15552, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- 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(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(16) ⊂ Ce(15) [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(580, 5210, F5, 3, 17) (dual of [(5210, 3), 15550, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(589, 5222, F5, 3, 17) (dual of [(5222, 3), 15577, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(590, 5226, F5, 3, 17) (dual of [(5226, 3), 15588, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(591, 5228, F5, 3, 17) (dual of [(5228, 3), 15593, 18]-NRT-code) | [i] | ||