Information on Result #1743378
Digital (32, 48, 19827)-net over F49, using net defined by OOA based on linear OOA(4948, 19827, F49, 21, 16) (dual of [(19827, 21), 416319, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4948, 59482, F49, 3, 16) (dual of [(59482, 3), 178398, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4948, 59484, F49, 3, 16) (dual of [(59484, 3), 178404, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4948, 59484, F49, 16) (dual of [59484, 59436, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4948, 117660, F49, 16) (dual of [117660, 117612, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(4946, 117649, F49, 16) (dual of [117649, 117603, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4937, 117649, F49, 13) (dual of [117649, 117612, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(492, 11, F49, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(4948, 117660, F49, 16) (dual of [117660, 117612, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4948, 59484, F49, 16) (dual of [59484, 59436, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(4948, 59484, F49, 3, 16) (dual of [(59484, 3), 178404, 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.