Information on Result #1717452
Digital (50, 60, 17284)-net over F4, using net defined by OOA based on linear OOA(460, 17284, F4, 15, 10) (dual of [(17284, 15), 259200, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(460, 34569, F4, 3, 10) (dual of [(34569, 3), 103647, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(460, 34569, F4, 10) (dual of [34569, 34509, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(460, 65555, F4, 10) (dual of [65555, 65495, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(457, 65536, F4, 10) (dual of [65536, 65479, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(441, 65536, F4, 7) (dual of [65536, 65495, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(43, 19, F4, 2) (dual of [19, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(460, 65555, F4, 10) (dual of [65555, 65495, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(460, 34569, F4, 10) (dual of [34569, 34509, 11]-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.