Information on Result #1082768
Linear OOA(8165, 1872, F81, 4, 23) (dual of [(1872, 4), 7423, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8120, 232, F81, 4, 11) (dual of [(232, 4), 908, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(817, 3240, F81, 4, 5) (dual of [(3240, 4), 12953, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- linear OOA(8113, 116, F81, 4, 11) (dual of [(116, 4), 451, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,452P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(817, 3240, F81, 4, 5) (dual of [(3240, 4), 12953, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8145, 1640, F81, 4, 23) (dual of [(1640, 4), 6515, 24]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8145, 6560, F81, 23) (dual of [6560, 6515, 24]-code), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using
- OOA 4-folding [i] based on linear OA(8145, 6560, F81, 23) (dual of [6560, 6515, 24]-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
None.