Information on Result #1738744
Digital (35, 51, 4926)-net over F27, using net defined by OOA based on linear OOA(2751, 4926, F27, 18, 16) (dual of [(4926, 18), 88617, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2751, 19705, F27, 2, 16) (dual of [(19705, 2), 39359, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2751, 19706, F27, 2, 16) (dual of [(19706, 2), 39361, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2751, 19706, F27, 16) (dual of [19706, 19655, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(9) [i] based on
- linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2728, 19683, F27, 10) (dual of [19683, 19655, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(275, 23, F27, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- construction X applied to Ce(15) ⊂ Ce(9) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2751, 19706, F27, 16) (dual of [19706, 19655, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(2751, 19706, F27, 2, 16) (dual of [(19706, 2), 39361, 17]-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.