Information on Result #898440
Linear OOA(1662, 2073, F16, 2, 19) (dual of [(2073, 2), 4084, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1610, 24, F16, 2, 9) (dual of [(24, 2), 38, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,38P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OOA(1652, 2049, F16, 2, 19) (dual of [(2049, 2), 4046, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1652, 4098, F16, 19) (dual of [4098, 4046, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1652, 4099, F16, 19) (dual of [4099, 4047, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(1652, 4096, F16, 19) (dual of [4096, 4044, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1649, 4096, F16, 18) (dual of [4096, 4047, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(1652, 4099, F16, 19) (dual of [4099, 4047, 20]-code), using
- OOA 2-folding [i] based on linear OA(1652, 4098, F16, 19) (dual of [4098, 4046, 20]-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.