Information on Result #1736492
Digital (34, 50, 3910)-net over F25, using net defined by OOA based on linear OOA(2550, 3910, F25, 18, 16) (dual of [(3910, 18), 70330, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2550, 15641, F25, 2, 16) (dual of [(15641, 2), 31232, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2550, 15644, F25, 2, 16) (dual of [(15644, 2), 31238, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2550, 15644, F25, 16) (dual of [15644, 15594, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- linear OA(2546, 15625, F25, 16) (dual of [15625, 15579, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2531, 15625, F25, 11) (dual of [15625, 15594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(254, 19, F25, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2550, 15644, F25, 16) (dual of [15644, 15594, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(2550, 15644, F25, 2, 16) (dual of [(15644, 2), 31238, 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.