Information on Result #1717744
Digital (52, 65, 4097)-net over F4, using net defined by OOA based on linear OOA(465, 4097, F4, 15, 13) (dual of [(4097, 15), 61390, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(465, 8195, F4, 3, 13) (dual of [(8195, 3), 24520, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(465, 8196, F4, 3, 13) (dual of [(8196, 3), 24523, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(465, 8196, F4, 2, 13) (dual of [(8196, 2), 16327, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(465, 16392, F4, 13) (dual of [16392, 16327, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(457, 16384, F4, 11) (dual of [16384, 16327, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(41, 8, F4, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- OOA 2-folding [i] based on linear OA(465, 16392, F4, 13) (dual of [16392, 16327, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(465, 8196, F4, 2, 13) (dual of [(8196, 2), 16327, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(465, 8196, F4, 3, 13) (dual of [(8196, 3), 24523, 14]-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.