Information on Result #1720122
Digital (137, 167, 2789)-net over F4, using net defined by OOA based on linear OOA(4167, 2789, F4, 33, 30) (dual of [(2789, 33), 91870, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4167, 13946, F4, 3, 30) (dual of [(13946, 3), 41671, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4167, 13949, F4, 3, 30) (dual of [(13949, 3), 41680, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4167, 13949, F4, 30) (dual of [13949, 13782, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4167, 16424, F4, 30) (dual of [16424, 16257, 31]-code), using
- 5 times code embedding in larger space [i] based on linear OA(4162, 16419, F4, 30) (dual of [16419, 16257, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4155, 16384, F4, 30) (dual of [16384, 16229, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4127, 16384, F4, 25) (dual of [16384, 16257, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(29) ⊂ Ce(24) [i] based on
- 5 times code embedding in larger space [i] based on linear OA(4162, 16419, F4, 30) (dual of [16419, 16257, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4167, 16424, F4, 30) (dual of [16424, 16257, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4167, 13949, F4, 30) (dual of [13949, 13782, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(4167, 13949, F4, 3, 30) (dual of [(13949, 3), 41680, 31]-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.