Information on Result #904497
Linear OOA(8171, 4194417, F81, 2, 16) (dual of [(4194417, 2), 8388763, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8110, 116, F81, 2, 8) (dual of [(116, 2), 222, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,223P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8161, 4194301, F81, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8161, 8388602, F81, 16) (dual of [8388602, 8388541, 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 2-folding [i] based on linear OA(8161, 8388602, F81, 16) (dual of [8388602, 8388541, 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(8172, 4194417, F81, 2, 16) (dual of [(4194417, 2), 8388762, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8171, 2097208, F81, 4, 16) (dual of [(2097208, 4), 8388761, 17]-NRT-code) | [i] | OOA Folding | |