Information on Result #1744016
Digital (21, 37, 1403)-net over F64, using net defined by OOA based on linear OOA(6437, 1403, F64, 21, 16) (dual of [(1403, 21), 29426, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6437, 4210, F64, 3, 16) (dual of [(4210, 3), 12593, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6437, 4212, F64, 3, 16) (dual of [(4212, 3), 12599, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6437, 4212, F64, 16) (dual of [4212, 4175, 17]-code), using
- 108 step Varšamov–Edel lengthening with (ri) = (4, 4 times 0, 1, 20 times 0, 1, 81 times 0) [i] based on linear OA(6431, 4098, F64, 16) (dual of [4098, 4067, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(6431, 4096, F64, 16) (dual of [4096, 4065, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(6429, 4096, F64, 15) (dual of [4096, 4067, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- 108 step Varšamov–Edel lengthening with (ri) = (4, 4 times 0, 1, 20 times 0, 1, 81 times 0) [i] based on linear OA(6431, 4098, F64, 16) (dual of [4098, 4067, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6437, 4212, F64, 16) (dual of [4212, 4175, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(6437, 4212, F64, 3, 16) (dual of [(4212, 3), 12599, 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.