Information on Result #898940
Linear OOA(16124, 2087, F16, 2, 37) (dual of [(2087, 2), 4050, 38]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1621, 38, F16, 2, 18) (dual of [(38, 2), 55, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,57P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OOA(16103, 2049, F16, 2, 37) (dual of [(2049, 2), 3995, 38]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16103, 4098, F16, 37) (dual of [4098, 3995, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(16103, 4099, F16, 37) (dual of [4099, 3996, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(35) [i] based on
- linear OA(16103, 4096, F16, 37) (dual of [4096, 3993, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(16100, 4096, F16, 36) (dual of [4096, 3996, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(36) ⊂ Ce(35) [i] based on
- discarding factors / shortening the dual code based on linear OA(16103, 4099, F16, 37) (dual of [4099, 3996, 38]-code), using
- OOA 2-folding [i] based on linear OA(16103, 4098, F16, 37) (dual of [4098, 3995, 38]-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.