Information on Result #1713568
Digital (72, 88, 1646)-net over F3, using net defined by OOA based on linear OOA(388, 1646, F3, 20, 16) (dual of [(1646, 20), 32832, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(388, 3293, F3, 4, 16) (dual of [(3293, 4), 13084, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(388, 3294, F3, 4, 16) (dual of [(3294, 4), 13088, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(388, 3294, F3, 2, 16) (dual of [(3294, 2), 6500, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(388, 6588, F3, 16) (dual of [6588, 6500, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- OOA 2-folding [i] based on linear OA(388, 6588, F3, 16) (dual of [6588, 6500, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(388, 3294, F3, 2, 16) (dual of [(3294, 2), 6500, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(388, 3294, F3, 4, 16) (dual of [(3294, 4), 13088, 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.