Information on Result #693481
Linear OA(2553, 15632, F25, 18) (dual of [15632, 15579, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(2552, 15625, F25, 18) (dual of [15625, 15573, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2546, 15625, F25, 16) (dual of [15625, 15579, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2566, 15698, F25, 18) (dual of [15698, 15632, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2553, 9892, F25, 2, 18) (dual of [(9892, 2), 19731, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (35, 53, 9892)-net over F25 | [i] | ||
| 4 | Linear OOA(2553, 7816, F25, 2, 18) (dual of [(7816, 2), 15579, 19]-NRT-code) | [i] | OOA Folding | |