Information on Result #1849462
(16, 23, 1048576)-net in base 64, using net defined by OOA based on OOA(6423, 1048576, S64, 9, 7), using
- OOA stacking with additional row [i] based on OOA(6423, 1048577, S64, 3, 7), using
- discarding parts of the base [i] based on linear OOA(12819, 1048577, F128, 3, 7) (dual of [(1048577, 3), 3145712, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12819, 1048577, F128, 2, 7) (dual of [(1048577, 2), 2097135, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12819, 2097154, F128, 7) (dual of [2097154, 2097135, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(12819, 2097155, F128, 7) (dual of [2097155, 2097136, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(12819, 2097152, F128, 7) (dual of [2097152, 2097133, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(12816, 2097152, F128, 6) (dual of [2097152, 2097136, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(12819, 2097155, F128, 7) (dual of [2097155, 2097136, 8]-code), using
- OOA 2-folding [i] based on linear OA(12819, 2097154, F128, 7) (dual of [2097154, 2097135, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12819, 1048577, F128, 2, 7) (dual of [(1048577, 2), 2097135, 8]-NRT-code), using
- discarding parts of the base [i] based on linear OOA(12819, 1048577, F128, 3, 7) (dual of [(1048577, 3), 3145712, 8]-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.