Information on Result #904670
Linear OOA(8168, 3497, F81, 2, 24) (dual of [(3497, 2), 6926, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8121, 216, F81, 2, 12) (dual of [(216, 2), 411, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(817, 100, F81, 2, 6) (dual of [(100, 2), 193, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,193P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8114, 116, F81, 2, 12) (dual of [(116, 2), 218, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,219P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(817, 100, F81, 2, 6) (dual of [(100, 2), 193, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8147, 3281, F81, 2, 24) (dual of [(3281, 2), 6515, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8147, 6562, F81, 24) (dual of [6562, 6515, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8147, 6563, F81, 24) (dual of [6563, 6516, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(8147, 6563, F81, 24) (dual of [6563, 6516, 25]-code), using
- OOA 2-folding [i] based on linear OA(8147, 6562, F81, 24) (dual of [6562, 6515, 25]-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(8168, 1748, F81, 4, 24) (dual of [(1748, 4), 6924, 25]-NRT-code) | [i] | OOA Folding | |