Information on Result #1718908
Digital (144, 166, 103931)-net over F4, using net defined by OOA based on linear OOA(4166, 103931, F4, 27, 22) (dual of [(103931, 27), 2805971, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4166, 415725, F4, 3, 22) (dual of [(415725, 3), 1247009, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4166, 415726, F4, 3, 22) (dual of [(415726, 3), 1247012, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4166, 415726, F4, 2, 22) (dual of [(415726, 2), 831286, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4166, 524305, F4, 2, 22) (dual of [(524305, 2), 1048444, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4166, 1048610, F4, 22) (dual of [1048610, 1048444, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4166, 1048611, F4, 22) (dual of [1048611, 1048445, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4166, 1048611, F4, 22) (dual of [1048611, 1048445, 23]-code), using
- OOA 2-folding [i] based on linear OA(4166, 1048610, F4, 22) (dual of [1048610, 1048444, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(4166, 524305, F4, 2, 22) (dual of [(524305, 2), 1048444, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4166, 415726, F4, 2, 22) (dual of [(415726, 2), 831286, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4166, 415726, F4, 3, 22) (dual of [(415726, 3), 1247012, 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.