Information on Result #1082381
Linear OOA(8143, 2097250, F81, 4, 10) (dual of [(2097250, 4), 8388957, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(816, 100, F81, 4, 5) (dual of [(100, 4), 394, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,394P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8137, 2097150, F81, 4, 10) (dual of [(2097150, 4), 8388563, 11]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8137, 8388600, F81, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- OOA 4-folding [i] based on linear OA(8137, 8388600, F81, 10) (dual of [8388600, 8388563, 11]-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(8160, 4194500, F81, 4, 10) (dual of [(4194500, 4), 16777940, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs |