Information on Result #1464073
Linear OOA(8166, 6596, F81, 2, 28) (dual of [(6596, 2), 13126, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8166, 6596, F81, 28) (dual of [6596, 6530, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(15) [i] based on
- linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8111, 35, F81, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,81)), using
- discarding factors / shortening the dual code based on linear OA(8111, 81, F81, 11) (dual of [81, 70, 12]-code or 81-arc in PG(10,81)), using
- Reed–Solomon code RS(70,81) [i]
- discarding factors / shortening the dual code based on linear OA(8111, 81, F81, 11) (dual of [81, 70, 12]-code or 81-arc in PG(10,81)), 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(8166, 3298, F81, 3, 28) (dual of [(3298, 3), 9828, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8166, 3298, F81, 4, 28) (dual of [(3298, 4), 13126, 29]-NRT-code) | [i] | ||