Information on Result #1012011
Linear OOA(4204, 4194310, F4, 3, 18) (dual of [(4194310, 3), 12582726, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(410, 9, F4, 3, 9) (dual of [(9, 3), 17, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,17P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,17P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4194, 4194301, F4, 3, 18) (dual of [(4194301, 3), 12582709, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(4194, 8388602, F4, 2, 18) (dual of [(8388602, 2), 16777010, 19]-NRT-code), using
- trace code [i] based on linear OOA(1697, 4194301, F16, 2, 18) (dual of [(4194301, 2), 8388505, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1697, 8388602, F16, 18) (dual of [8388602, 8388505, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1697, large, F16, 18) (dual of [large, large−97, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(1697, large, F16, 18) (dual of [large, large−97, 19]-code), using
- OOA 2-folding [i] based on linear OA(1697, 8388602, F16, 18) (dual of [8388602, 8388505, 19]-code), using
- trace code [i] based on linear OOA(1697, 4194301, F16, 2, 18) (dual of [(4194301, 2), 8388505, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(4194, 8388602, F4, 2, 18) (dual of [(8388602, 2), 16777010, 19]-NRT-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
None.