Information on Result #1764497
Digital (127, 152, 8087)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3152, 8087, F3, 2, 25) (dual of [(8087, 2), 16022, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3152, 9855, F3, 2, 25) (dual of [(9855, 2), 19558, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3152, 19710, F3, 25) (dual of [19710, 19558, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(3152, 19710, F3, 25) (dual of [19710, 19558, 26]-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.