Information on Result #1197084
Digital (77, 106, 1134)-net over F25, using net defined by OOA based on linear OOA(25106, 1134, F25, 30, 29) (dual of [(1134, 30), 33914, 30]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(25106, 7939, F25, 2, 29) (dual of [(7939, 2), 15772, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25106, 7940, F25, 2, 29) (dual of [(7940, 2), 15774, 30]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2524, 126, F25, 2, 14) (dual of [(126, 2), 228, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,237P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- extended algebraic-geometric NRT-code AGe(2;F,237P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- linear OOA(2582, 7814, F25, 2, 29) (dual of [(7814, 2), 15546, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2582, 15628, F25, 29) (dual of [15628, 15546, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2582, 15625, F25, 29) (dual of [15625, 15543, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2579, 15625, F25, 28) (dual of [15625, 15546, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(2582, 15628, F25, 29) (dual of [15628, 15546, 30]-code), using
- linear OOA(2524, 126, F25, 2, 14) (dual of [(126, 2), 228, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(25106, 7940, F25, 2, 29) (dual of [(7940, 2), 15774, 30]-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.