Information on Result #1717738
Digital (49, 62, 1780)-net over F4, using net defined by OOA based on linear OOA(462, 1780, F4, 15, 13) (dual of [(1780, 15), 26638, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(462, 3561, F4, 3, 13) (dual of [(3561, 3), 10621, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(462, 3561, F4, 13) (dual of [3561, 3499, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(462, 4105, F4, 13) (dual of [4105, 4043, 14]-code), using
- (u, u+v)-construction [i] based on
- linear OA(47, 9, F4, 6) (dual of [9, 2, 7]-code), using
- 1 times truncation [i] based on linear OA(48, 10, F4, 7) (dual of [10, 2, 8]-code), using
- repeating each code word 2 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 2 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- 1 times truncation [i] based on linear OA(48, 10, F4, 7) (dual of [10, 2, 8]-code), using
- 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]
- linear OA(47, 9, F4, 6) (dual of [9, 2, 7]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(462, 4105, F4, 13) (dual of [4105, 4043, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(462, 3561, F4, 13) (dual of [3561, 3499, 14]-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.