Information on Result #1846533
(22, 35, 4619)-net in base 32, using base change based on digital (12, 25, 4619)-net over F128, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12825, 4619, F128, 3, 13) (dual of [(4619, 3), 13832, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12825, 5462, F128, 3, 13) (dual of [(5462, 3), 16361, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12825, 16386, F128, 13) (dual of [16386, 16361, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- OOA 3-folding [i] based on linear OA(12825, 16386, F128, 13) (dual of [16386, 16361, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(12825, 5462, F128, 3, 13) (dual of [(5462, 3), 16361, 14]-NRT-code), using
Mode: Arbitrary.
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.