Information on Result #1012047
Linear OOA(4218, 4194315, F4, 3, 19) (dual of [(4194315, 3), 12582727, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(412, 14, F4, 3, 9) (dual of [(14, 3), 30, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(4206, 4194301, F4, 3, 19) (dual of [(4194301, 3), 12582697, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(4206, 8388602, F4, 2, 19) (dual of [(8388602, 2), 16776998, 20]-NRT-code), using
- trace code [i] based on linear OOA(16103, 4194301, F16, 2, 19) (dual of [(4194301, 2), 8388499, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16103, 8388602, F16, 19) (dual of [8388602, 8388499, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(16103, large, F16, 19) (dual of [large, large−103, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(16103, large, F16, 19) (dual of [large, large−103, 20]-code), using
- OOA 2-folding [i] based on linear OA(16103, 8388602, F16, 19) (dual of [8388602, 8388499, 20]-code), using
- trace code [i] based on linear OOA(16103, 4194301, F16, 2, 19) (dual of [(4194301, 2), 8388499, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(4206, 8388602, F4, 2, 19) (dual of [(8388602, 2), 16776998, 20]-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.