Information on Result #1717666
Digital (69, 81, 65535)-net over F4, using net defined by OOA based on linear OOA(481, 65535, F4, 15, 12) (dual of [(65535, 15), 982944, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(481, 131071, F4, 3, 12) (dual of [(131071, 3), 393132, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(481, 131071, F4, 2, 12) (dual of [(131071, 2), 262061, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(481, 262142, F4, 12) (dual of [262142, 262061, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(481, 262143, F4, 12) (dual of [262143, 262062, 13]-code), using
- 1 times truncation [i] based on linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 1 times truncation [i] based on linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(481, 262143, F4, 12) (dual of [262143, 262062, 13]-code), using
- OOA 2-folding [i] based on linear OA(481, 262142, F4, 12) (dual of [262142, 262061, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(481, 131071, F4, 2, 12) (dual of [(131071, 2), 262061, 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.