Information on Result #1082837
Linear OOA(8178, 1812, F81, 4, 29) (dual of [(1812, 4), 7170, 30]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8121, 172, F81, 4, 14) (dual of [(172, 4), 667, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,673P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8157, 1640, F81, 4, 29) (dual of [(1640, 4), 6503, 30]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8157, 6560, F81, 29) (dual of [6560, 6503, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, 6561, F81, 29) (dual of [6561, 6504, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- discarding factors / shortening the dual code based on linear OA(8157, 6561, F81, 29) (dual of [6561, 6504, 30]-code), using
- OOA 4-folding [i] based on linear OA(8157, 6560, F81, 29) (dual of [6560, 6503, 30]-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.