Information on Result #1720760
Digital (205, 239, 21850)-net over F4, using net defined by OOA based on linear OOA(4239, 21850, F4, 39, 34) (dual of [(21850, 39), 851911, 35]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4239, 131101, F4, 3, 34) (dual of [(131101, 3), 393064, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4239, 131101, F4, 2, 34) (dual of [(131101, 2), 261963, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4239, 262202, F4, 34) (dual of [262202, 261963, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(26) [i] based on
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4181, 262144, F4, 27) (dual of [262144, 261963, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(413, 58, F4, 6) (dual of [58, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(33) ⊂ Ce(26) [i] based on
- OOA 2-folding [i] based on linear OA(4239, 262202, F4, 34) (dual of [262202, 261963, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4239, 131101, F4, 2, 34) (dual of [(131101, 2), 261963, 35]-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.