Information on Result #1551929
Linear OOA(765, 16831, F7, 3, 14) (dual of [(16831, 3), 50428, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(765, 16831, F7, 14) (dual of [16831, 16766, 15]-code), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(741, 16807, F7, 10) (dual of [16807, 16766, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(74, 24, F7, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,7)), using
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(765, 5610, F7, 21, 14) (dual of [(5610, 21), 117745, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |