Information on Result #1717626
Digital (49, 61, 2164)-net over F4, using net defined by OOA based on linear OOA(461, 2164, F4, 15, 12) (dual of [(2164, 15), 32399, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(461, 4329, F4, 3, 12) (dual of [(4329, 3), 12926, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(461, 4330, F4, 3, 12) (dual of [(4330, 3), 12929, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(461, 4330, F4, 12) (dual of [4330, 4269, 13]-code), using
- 228 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 5 times 0, 1, 14 times 0, 1, 29 times 0, 1, 59 times 0, 1, 113 times 0) [i] based on linear OA(454, 4095, F4, 12) (dual of [4095, 4041, 13]-code), using
- 1 times truncation [i] based on linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 1 times truncation [i] based on linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using
- 228 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 5 times 0, 1, 14 times 0, 1, 29 times 0, 1, 59 times 0, 1, 113 times 0) [i] based on linear OA(454, 4095, F4, 12) (dual of [4095, 4041, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(461, 4330, F4, 12) (dual of [4330, 4269, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(461, 4330, F4, 3, 12) (dual of [(4330, 3), 12929, 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.