Information on Result #1718850
Digital (104, 126, 4004)-net over F4, using net defined by OOA based on linear OOA(4126, 4004, F4, 27, 22) (dual of [(4004, 27), 107982, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4126, 16017, F4, 3, 22) (dual of [(16017, 3), 47925, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4126, 16019, F4, 3, 22) (dual of [(16019, 3), 47931, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4126, 16019, F4, 22) (dual of [16019, 15893, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4126, 16401, F4, 22) (dual of [16401, 16275, 23]-code), using
- (u, u+v)-construction [i] based on
- linear OA(413, 17, F4, 11) (dual of [17, 4, 12]-code), using
- linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4126, 16401, F4, 22) (dual of [16401, 16275, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4126, 16019, F4, 22) (dual of [16019, 15893, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(4126, 16019, F4, 3, 22) (dual of [(16019, 3), 47931, 23]-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.