Information on Result #1550972
Linear OOA(5147, 43773, F5, 3, 26) (dual of [(43773, 3), 131172, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5147, 43773, F5, 26) (dual of [43773, 43626, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5147, 78155, F5, 26) (dual of [78155, 78008, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- linear OA(5141, 78125, F5, 26) (dual of [78125, 77984, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5113, 78125, F5, 21) (dual of [78125, 78012, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [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(5147, 8754, F5, 33, 26) (dual of [(8754, 33), 288735, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |