Information on Result #1731638
Digital (60, 77, 18294)-net over F9, using net defined by OOA based on linear OOA(977, 18294, F9, 21, 17) (dual of [(18294, 21), 384097, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(977, 54883, F9, 3, 17) (dual of [(54883, 3), 164572, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(977, 54883, F9, 17) (dual of [54883, 54806, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 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(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(977, 54883, F9, 17) (dual of [54883, 54806, 18]-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.