Information on Result #898871
Linear OOA(16116, 2098, F16, 2, 34) (dual of [(2098, 2), 4080, 35]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1622, 49, F16, 2, 17) (dual of [(49, 2), 76, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,80P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- linear OOA(1694, 2049, F16, 2, 34) (dual of [(2049, 2), 4004, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1694, 4098, F16, 34) (dual of [4098, 4004, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(1694, 4099, F16, 34) (dual of [4099, 4005, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(1694, 4096, F16, 34) (dual of [4096, 4002, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(1691, 4096, F16, 33) (dual of [4096, 4005, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- discarding factors / shortening the dual code based on linear OA(1694, 4099, F16, 34) (dual of [4099, 4005, 35]-code), using
- OOA 2-folding [i] based on linear OA(1694, 4098, F16, 34) (dual of [4098, 4004, 35]-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.