Information on Result #1743766
Digital (16, 27, 2846)-net over F64, using net defined by OOA based on linear OOA(6427, 2846, F64, 15, 11) (dual of [(2846, 15), 42663, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(6427, 5693, F64, 3, 11) (dual of [(5693, 3), 17052, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6427, 5693, F64, 11) (dual of [5693, 5666, 12]-code), using
- 1589 step Varšamov–Edel lengthening with (ri) = (3, 8 times 0, 1, 68 times 0, 1, 347 times 0, 1, 1162 times 0) [i] based on linear OA(6421, 4098, F64, 11) (dual of [4098, 4077, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(6421, 4096, F64, 11) (dual of [4096, 4075, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(10) ⊂ Ce(9) [i] based on
- 1589 step Varšamov–Edel lengthening with (ri) = (3, 8 times 0, 1, 68 times 0, 1, 347 times 0, 1, 1162 times 0) [i] based on linear OA(6421, 4098, F64, 11) (dual of [4098, 4077, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6427, 5693, F64, 11) (dual of [5693, 5666, 12]-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.