Information on Result #1082519
Linear OOA(8178, 4194532, F81, 4, 13) (dual of [(4194532, 4), 16778050, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8121, 2796201, F81, 4, 6) (dual of [(2796201, 4), 11184783, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- linear OOA(8157, 2097266, F81, 4, 13) (dual of [(2097266, 4), 8389007, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(818, 116, F81, 4, 6) (dual of [(116, 4), 456, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,457P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8149, 2097150, F81, 4, 13) (dual of [(2097150, 4), 8388551, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8149, 8388600, F81, 13) (dual of [8388600, 8388551, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- OOA 4-folding [i] based on linear OA(8149, 8388600, F81, 13) (dual of [8388600, 8388551, 14]-code), using
- linear OOA(818, 116, F81, 4, 6) (dual of [(116, 4), 456, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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
None.