Information on Result #1195728
Digital (100, 128, 9368)-net over F16, using net defined by OOA based on linear OOA(16128, 9368, F16, 30, 28) (dual of [(9368, 30), 280912, 29]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(16128, 65577, F16, 2, 28) (dual of [(65577, 2), 131026, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16128, 65583, F16, 2, 28) (dual of [(65583, 2), 131038, 29]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1618, 45, F16, 2, 14) (dual of [(45, 2), 72, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,75P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- linear OOA(16110, 65538, F16, 2, 28) (dual of [(65538, 2), 130966, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16110, 131076, F16, 28) (dual of [131076, 130966, 29]-code), using
- trace code [i] based on linear OA(25655, 65538, F256, 28) (dual of [65538, 65483, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25653, 65536, F256, 27) (dual of [65536, 65483, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- trace code [i] based on linear OA(25655, 65538, F256, 28) (dual of [65538, 65483, 29]-code), using
- OOA 2-folding [i] based on linear OA(16110, 131076, F16, 28) (dual of [131076, 130966, 29]-code), using
- linear OOA(1618, 45, F16, 2, 14) (dual of [(45, 2), 72, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(16128, 65583, F16, 2, 28) (dual of [(65583, 2), 131038, 29]-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.