Information on Result #1614111
Linear OOA(8176, 177148, F81, 4, 26) (dual of [(177148, 4), 708516, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8176, 177148, F81, 3, 26) (dual of [(177148, 3), 531368, 27]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8176, 531444, F81, 26) (dual of [531444, 531368, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(8176, 531441, F81, 26) (dual of [531441, 531365, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8173, 531441, F81, 25) (dual of [531441, 531368, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [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(8176, 44286, F81, 36, 26) (dual of [(44286, 36), 1594220, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |