Information on Result #1203366
Digital (17, 29, 2795)-net over F128, using net defined by OOA based on linear OOA(12829, 2795, F128, 15, 12) (dual of [(2795, 15), 41896, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12829, 5591, F128, 3, 12) (dual of [(5591, 3), 16744, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1286, 129, F128, 3, 6) (dual of [(129, 3), 381, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;381,128) [i]
- linear OOA(12823, 5462, F128, 3, 12) (dual of [(5462, 3), 16363, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12823, 16386, F128, 12) (dual of [16386, 16363, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12821, 16384, F128, 11) (dual of [16384, 16363, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- OOA 3-folding [i] based on linear OA(12823, 16386, F128, 12) (dual of [16386, 16363, 13]-code), using
- linear OOA(1286, 129, F128, 3, 6) (dual of [(129, 3), 381, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.