Information on Result #1731824
Digital (95, 113, 1355264)-net over F9, using net defined by OOA based on linear OOA(9113, 1355264, F9, 21, 18) (dual of [(1355264, 21), 28460431, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9113, 4065793, F9, 3, 18) (dual of [(4065793, 3), 12197266, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9113, 4065794, F9, 3, 18) (dual of [(4065794, 3), 12197269, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9113, 4065794, F9, 18) (dual of [4065794, 4065681, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(9113, 4782976, F9, 18) (dual of [4782976, 4782863, 19]-code), using
- 1 times truncation [i] based on linear OA(9114, 4782977, F9, 19) (dual of [4782977, 4782863, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(91, 8, F9, 1) (dual of [8, 7, 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 Ce(18) ⊂ Ce(16) [i] based on
- 1 times truncation [i] based on linear OA(9114, 4782977, F9, 19) (dual of [4782977, 4782863, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9113, 4782976, F9, 18) (dual of [4782976, 4782863, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9113, 4065794, F9, 18) (dual of [4065794, 4065681, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(9113, 4065794, F9, 3, 18) (dual of [(4065794, 3), 12197269, 19]-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.