Information on Result #1720272
Digital (140, 171, 2627)-net over F4, using net defined by OOA based on linear OOA(4171, 2627, F4, 33, 31) (dual of [(2627, 33), 86520, 32]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4171, 13136, F4, 3, 31) (dual of [(13136, 3), 39237, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4171, 13139, F4, 3, 31) (dual of [(13139, 3), 39246, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4171, 13139, F4, 31) (dual of [13139, 12968, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4171, 16421, F4, 31) (dual of [16421, 16250, 32]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4169, 16419, F4, 31) (dual of [16419, 16250, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4169, 16419, F4, 31) (dual of [16419, 16250, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4171, 16421, F4, 31) (dual of [16421, 16250, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4171, 13139, F4, 31) (dual of [13139, 12968, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(4171, 13139, F4, 3, 31) (dual of [(13139, 3), 39246, 32]-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.