Information on Result #1717684
Digital (78, 90, 262143)-net over F4, using net defined by OOA based on linear OOA(490, 262143, F4, 15, 12) (dual of [(262143, 15), 3932055, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(490, 524287, F4, 3, 12) (dual of [(524287, 3), 1572771, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(490, 524287, F4, 2, 12) (dual of [(524287, 2), 1048484, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(490, 1048574, F4, 12) (dual of [1048574, 1048484, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(490, 1048575, F4, 12) (dual of [1048575, 1048485, 13]-code), using
- 1 times truncation [i] based on linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 1 times truncation [i] based on linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(490, 1048575, F4, 12) (dual of [1048575, 1048485, 13]-code), using
- OOA 2-folding [i] based on linear OA(490, 1048574, F4, 12) (dual of [1048574, 1048484, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(490, 524287, F4, 2, 12) (dual of [(524287, 2), 1048484, 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.