Information on Result #1708792
Digital (73, 86, 4099)-net over F2, using net defined by OOA based on linear OOA(286, 4099, F2, 18, 13) (dual of [(4099, 18), 73696, 14]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(286, 4100, F2, 6, 13) (dual of [(4100, 6), 24514, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(286, 4100, F2, 4, 13) (dual of [(4100, 4), 16314, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(286, 16400, F2, 13) (dual of [16400, 16314, 14]-code), using
- construction X4 applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(285, 16384, F2, 13) (dual of [16384, 16299, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(271, 16384, F2, 11) (dual of [16384, 16313, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(215, 16, F2, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,2)), using
- dual of repetition code with length 16 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(12) ⊂ Ce(10) [i] based on
- OOA 4-folding [i] based on linear OA(286, 16400, F2, 13) (dual of [16400, 16314, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(286, 4100, F2, 4, 13) (dual of [(4100, 4), 16314, 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.