Information on Result #1710278
Digital (81, 99, 340)-net over F2, using net defined by OOA based on linear OOA(299, 340, F2, 25, 18) (dual of [(340, 25), 8401, 19]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(299, 681, F2, 5, 18) (dual of [(681, 5), 3306, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(299, 681, F2, 3, 18) (dual of [(681, 3), 1944, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(299, 682, F2, 3, 18) (dual of [(682, 3), 1947, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(299, 2046, F2, 18) (dual of [2046, 1947, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(299, 2047, F2, 18) (dual of [2047, 1948, 19]-code), using
- 1 times truncation [i] based on linear OA(2100, 2048, F2, 19) (dual of [2048, 1948, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 1 times truncation [i] based on linear OA(2100, 2048, F2, 19) (dual of [2048, 1948, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(299, 2047, F2, 18) (dual of [2047, 1948, 19]-code), using
- OOA 3-folding [i] based on linear OA(299, 2046, F2, 18) (dual of [2046, 1947, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(299, 682, F2, 3, 18) (dual of [(682, 3), 1947, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(299, 681, F2, 3, 18) (dual of [(681, 3), 1944, 19]-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.