Information on Result #1718934
Digital (167, 189, 524294)-net over F4, using net defined by OOA based on linear OOA(4189, 524294, F4, 27, 22) (dual of [(524294, 27), 14155749, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4189, 2097177, F4, 3, 22) (dual of [(2097177, 3), 6291342, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4189, 2097180, F4, 3, 22) (dual of [(2097180, 3), 6291351, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4189, 2097180, F4, 2, 22) (dual of [(2097180, 2), 4194171, 23]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(4185, 2097178, F4, 2, 22) (dual of [(2097178, 2), 4194171, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4185, 4194356, F4, 22) (dual of [4194356, 4194171, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4133, 4194304, F4, 17) (dual of [4194304, 4194171, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(48, 52, F4, 4) (dual of [52, 44, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(4185, 4194356, F4, 22) (dual of [4194356, 4194171, 23]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(4185, 2097178, F4, 2, 22) (dual of [(2097178, 2), 4194171, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4189, 2097180, F4, 2, 22) (dual of [(2097180, 2), 4194171, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4189, 2097180, F4, 3, 22) (dual of [(2097180, 3), 6291351, 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.