Information on Result #1195060
Digital (31, 43, 695)-net over F16, using net defined by OOA based on linear OOA(1643, 695, F16, 14, 12) (dual of [(695, 14), 9687, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1643, 2086, F16, 2, 12) (dual of [(2086, 2), 4129, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1643, 2087, F16, 2, 12) (dual of [(2087, 2), 4131, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(169, 38, F16, 2, 6) (dual of [(38, 2), 67, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,69P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OOA(1634, 2049, F16, 2, 12) (dual of [(2049, 2), 4064, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1634, 4098, F16, 12) (dual of [4098, 4064, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(1634, 4099, F16, 12) (dual of [4099, 4065, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(1634, 4096, F16, 12) (dual of [4096, 4062, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1631, 4096, F16, 11) (dual of [4096, 4065, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(1634, 4099, F16, 12) (dual of [4099, 4065, 13]-code), using
- OOA 2-folding [i] based on linear OA(1634, 4098, F16, 12) (dual of [4098, 4064, 13]-code), using
- linear OOA(169, 38, F16, 2, 6) (dual of [(38, 2), 67, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(1643, 2087, F16, 2, 12) (dual of [(2087, 2), 4131, 13]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.