Information on Result #1561738
Linear OOA(9117, 50156, F9, 3, 26) (dual of [(50156, 3), 150351, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9117, 50156, F9, 26) (dual of [50156, 50039, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(9117, 59060, F9, 26) (dual of [59060, 58943, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [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(9117, 10031, F9, 33, 26) (dual of [(10031, 33), 330906, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |