Information on Result #1727260
Digital (60, 72, 835190)-net over F8, using net defined by OOA based on linear OOA(872, 835190, F8, 15, 12) (dual of [(835190, 15), 12527778, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(872, 1670381, F8, 3, 12) (dual of [(1670381, 3), 5011071, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(872, 1670382, F8, 3, 12) (dual of [(1670382, 3), 5011074, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(872, 1670382, F8, 12) (dual of [1670382, 1670310, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(872, 2097167, F8, 12) (dual of [2097167, 2097095, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(872, 2097167, F8, 12) (dual of [2097167, 2097095, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(872, 1670382, F8, 12) (dual of [1670382, 1670310, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(872, 1670382, F8, 3, 12) (dual of [(1670382, 3), 5011074, 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.