Information on Result #1732212
Digital (109, 130, 746222)-net over F9, using net defined by OOA based on linear OOA(9130, 746222, F9, 27, 21) (dual of [(746222, 27), 20147864, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9130, 2984889, F9, 3, 21) (dual of [(2984889, 3), 8954537, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9130, 2984890, F9, 3, 21) (dual of [(2984890, 3), 8954540, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9130, 2984890, F9, 21) (dual of [2984890, 2984760, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(9130, 4782987, F9, 21) (dual of [4782987, 4782857, 22]-code), using
- 2 times code embedding in larger space [i] based on linear OA(9128, 4782985, F9, 21) (dual of [4782985, 4782857, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(9127, 4782970, F9, 21) (dual of [4782970, 4782843, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(9128, 4782985, F9, 21) (dual of [4782985, 4782857, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(9130, 4782987, F9, 21) (dual of [4782987, 4782857, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9130, 2984890, F9, 21) (dual of [2984890, 2984760, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(9130, 2984890, F9, 3, 21) (dual of [(2984890, 3), 8954540, 22]-NRT-code), using
Mode: 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.