Information on Result #898579
Linear OOA(1681, 2082, F16, 2, 24) (dual of [(2082, 2), 4083, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1614, 33, F16, 2, 12) (dual of [(33, 2), 52, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,53P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OOA(1667, 2049, F16, 2, 24) (dual of [(2049, 2), 4031, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1667, 4098, F16, 24) (dual of [4098, 4031, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(1667, 4099, F16, 24) (dual of [4099, 4032, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(1667, 4096, F16, 24) (dual of [4096, 4029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1664, 4096, F16, 23) (dual of [4096, 4032, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(23) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(1667, 4099, F16, 24) (dual of [4099, 4032, 25]-code), using
- OOA 2-folding [i] based on linear OA(1667, 4098, F16, 24) (dual of [4098, 4031, 25]-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.