Information on Result #1744770
Digital (35, 61, 909)-net over F64, using net defined by OOA based on linear OOA(6461, 909, F64, 33, 26) (dual of [(909, 33), 29936, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6461, 4546, F64, 3, 26) (dual of [(4546, 3), 13577, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6461, 4546, F64, 26) (dual of [4546, 4485, 27]-code), using
- 438 step Varšamov–Edel lengthening with (ri) = (5, 0, 0, 1, 7 times 0, 1, 21 times 0, 1, 48 times 0, 1, 112 times 0, 1, 242 times 0) [i] based on linear OA(6451, 4098, F64, 26) (dual of [4098, 4047, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(6449, 4096, F64, 25) (dual of [4096, 4047, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(25) ⊂ Ce(24) [i] based on
- 438 step Varšamov–Edel lengthening with (ri) = (5, 0, 0, 1, 7 times 0, 1, 21 times 0, 1, 48 times 0, 1, 112 times 0, 1, 242 times 0) [i] based on linear OA(6451, 4098, F64, 26) (dual of [4098, 4047, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6461, 4546, F64, 26) (dual of [4546, 4485, 27]-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.