Information on Result #898893
Linear OOA(16117, 2087, F16, 2, 35) (dual of [(2087, 2), 4057, 36]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1620, 38, F16, 2, 17) (dual of [(38, 2), 56, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,58P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OOA(1697, 2049, F16, 2, 35) (dual of [(2049, 2), 4001, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1697, 4098, F16, 35) (dual of [4098, 4001, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(1697, 4099, F16, 35) (dual of [4099, 4002, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(1697, 4096, F16, 35) (dual of [4096, 3999, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- 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(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(34) ⊂ Ce(33) [i] based on
- discarding factors / shortening the dual code based on linear OA(1697, 4099, F16, 35) (dual of [4099, 4002, 36]-code), using
- OOA 2-folding [i] based on linear OA(1697, 4098, F16, 35) (dual of [4098, 4001, 36]-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.