Information on Result #1014253
Linear OOA(840, 10936, F8, 3, 8) (dual of [(10936, 3), 32768, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(85, 14, F8, 3, 4) (dual of [(14, 3), 37, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,37P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(835, 10922, F8, 3, 8) (dual of [(10922, 3), 32731, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(835, 32766, F8, 8) (dual of [32766, 32731, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(835, 32767, F8, 8) (dual of [32767, 32732, 9]-code), using
- 1 times truncation [i] based on linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- 1 times truncation [i] based on linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(835, 32767, F8, 8) (dual of [32767, 32732, 9]-code), using
- OOA 3-folding [i] based on linear OA(835, 32766, F8, 8) (dual of [32766, 32731, 9]-code), 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(8162, 5603338, F8, 3, 16) (dual of [(5603338, 3), 16809852, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8170, 5603338, F8, 3, 17) (dual of [(5603338, 3), 16809844, 18]-NRT-code) | [i] | ||