Information on Result #1081225
Linear OOA(3161, 2097158, F3, 4, 16) (dual of [(2097158, 4), 8388471, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(310, 8, F3, 4, 8) (dual of [(8, 4), 22, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,23P) [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, using
- linear OOA(3151, 2097150, F3, 4, 16) (dual of [(2097150, 4), 8388449, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- OOA 4-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3237, 4194308, F3, 4, 16) (dual of [(4194308, 4), 16776995, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3239, 4194309, F3, 4, 16) (dual of [(4194309, 4), 16776997, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3242, 4194316, F3, 4, 16) (dual of [(4194316, 4), 16777022, 17]-NRT-code) | [i] | ||