Information on Result #1082616
Linear OOA(8170, 2097250, F81, 4, 16) (dual of [(2097250, 4), 8388930, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 100, F81, 4, 8) (dual of [(100, 4), 391, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,391P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8161, 2097150, F81, 4, 16) (dual of [(2097150, 4), 8388539, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8161, 8388600, F81, 16) (dual of [8388600, 8388539, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- OOA 4-folding [i] based on linear OA(8161, 8388600, F81, 16) (dual of [8388600, 8388539, 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(8170, 1048624, F81, 20, 16) (dual of [(1048624, 20), 20972410, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |