Information on Result #1082848
Linear OOA(8179, 1800, F81, 4, 30) (dual of [(1800, 4), 7121, 31]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8120, 160, F81, 4, 15) (dual of [(160, 4), 620, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,624P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- linear OOA(8159, 1640, F81, 4, 30) (dual of [(1640, 4), 6501, 31]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8159, 6560, F81, 30) (dual of [6560, 6501, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- discarding factors / shortening the dual code based on linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using
- OOA 4-folding [i] based on linear OA(8159, 6560, F81, 30) (dual of [6560, 6501, 31]-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.