Information on Result #1552457
Linear OOA(783, 89769, F7, 3, 16) (dual of [(89769, 3), 269224, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(783, 89769, F7, 16) (dual of [89769, 89686, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(783, 117671, F7, 16) (dual of [117671, 117588, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(779, 117649, F7, 16) (dual of [117649, 117570, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(761, 117649, F7, 12) (dual of [117649, 117588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 22, F7, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,7)), using
- construction X applied to Ce(15) ⊂ Ce(11) [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(783, 29922, F7, 21, 16) (dual of [(29922, 21), 628279, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |