Information on Result #1712990
Digital (53, 65, 1641)-net over F3, using net defined by OOA based on linear OOA(365, 1641, F3, 15, 12) (dual of [(1641, 15), 24550, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(365, 3283, F3, 3, 12) (dual of [(3283, 3), 9784, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(365, 3284, F3, 3, 12) (dual of [(3284, 3), 9787, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(365, 3284, F3, 2, 12) (dual of [(3284, 2), 6503, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(365, 6568, F3, 12) (dual of [6568, 6503, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(365, 6569, F3, 12) (dual of [6569, 6504, 13]-code), using
- 1 times truncation [i] based on linear OA(366, 6570, F3, 13) (dual of [6570, 6504, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(365, 6561, F3, 13) (dual of [6561, 6496, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(31, 9, F3, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- 1 times truncation [i] based on linear OA(366, 6570, F3, 13) (dual of [6570, 6504, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(365, 6569, F3, 12) (dual of [6569, 6504, 13]-code), using
- OOA 2-folding [i] based on linear OA(365, 6568, F3, 12) (dual of [6568, 6503, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(365, 3284, F3, 2, 12) (dual of [(3284, 2), 6503, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(365, 3284, F3, 3, 12) (dual of [(3284, 3), 9787, 13]-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.