Information on Result #684803
Linear OA(770, 16826, F7, 16) (dual of [16826, 16756, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- linear OA(766, 16807, F7, 16) (dual of [16807, 16741, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(751, 16807, F7, 12) (dual of [16807, 16756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 19, F7, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,7)), using
Mode: Constructive and 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(770, 14729, F7, 2, 16) (dual of [(14729, 2), 29388, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(770, 14729, F7, 3, 16) (dual of [(14729, 3), 44117, 17]-NRT-code) | [i] | ||
| 3 | Digital (54, 70, 14729)-net over F7 | [i] | ||
| 4 | Linear OOA(770, 8413, F7, 2, 16) (dual of [(8413, 2), 16756, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(770, 5608, F7, 3, 16) (dual of [(5608, 3), 16754, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(770, 2103, F7, 16, 16) (dual of [(2103, 16), 33578, 17]-NRT-code) | [i] | OA Folding and Stacking | |