Information on Result #1436616
Linear OOA(548, 78152, F5, 2, 8) (dual of [(78152, 2), 156256, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(548, 78152, F5, 8) (dual of [78152, 78104, 9]-code), using
- construction XX applied to Ce(7) ⊂ Ce(3) ⊂ Ce(2) [i] based on
- linear OA(543, 78125, F5, 8) (dual of [78125, 78082, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(522, 78125, F5, 4) (dual of [78125, 78103, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(515, 78125, F5, 3) (dual of [78125, 78110, 4]-code or 78125-cap in PG(14,5)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(548, 39076, F5, 3, 8) (dual of [(39076, 3), 117180, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(548, 39075, F5, 10, 8) (dual of [(39075, 10), 390702, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |