Information on Result #898382
Linear OOA(1657, 2092, F16, 2, 16) (dual of [(2092, 2), 4127, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1612, 45, F16, 2, 8) (dual of [(45, 2), 78, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,81P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- linear OOA(1645, 2047, F16, 2, 16) (dual of [(2047, 2), 4049, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1645, 4094, F16, 16) (dual of [4094, 4049, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1645, 4095, F16, 16) (dual of [4095, 4050, 17]-code), using
- 1 times truncation [i] based on linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 1 times truncation [i] based on linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1645, 4095, F16, 16) (dual of [4095, 4050, 17]-code), using
- OOA 2-folding [i] based on linear OA(1645, 4094, F16, 16) (dual of [4094, 4049, 17]-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.