Information on Result #1718160
Digital (127, 143, 858661)-net over F4, using net defined by OOA based on linear OOA(4143, 858661, F4, 21, 16) (dual of [(858661, 21), 18031738, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4143, 2575984, F4, 3, 16) (dual of [(2575984, 3), 7727809, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4143, 2575984, F4, 16) (dual of [2575984, 2575841, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4143, 4194368, F4, 16) (dual of [4194368, 4194225, 17]-code), using
- construction X applied to Ce(16) ⊂ Ce(9) [i] based on
- 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(478, 4194304, F4, 10) (dual of [4194304, 4194226, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(410, 64, F4, 5) (dual of [64, 54, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- construction X applied to Ce(16) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(4143, 4194368, F4, 16) (dual of [4194368, 4194225, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4143, 2575984, F4, 16) (dual of [2575984, 2575841, 17]-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.