Information on Result #1460706
Linear OOA(3270, 679409, F32, 2, 18) (dual of [(679409, 2), 1358748, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3270, 679409, F32, 18) (dual of [679409, 679339, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3270, 1048585, F32, 18) (dual of [1048585, 1048515, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(3269, 1048576, F32, 18) (dual of [1048576, 1048507, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3261, 1048576, F32, 16) (dual of [1048576, 1048515, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
Mode: 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(3270, 135881, F32, 22, 18) (dual of [(135881, 22), 2989312, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |