Information on Result #1683096
Linear OOA(2170, 488, F2, 7, 34) (dual of [(488, 7), 3246, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2170, 488, F2, 2, 34) (dual of [(488, 2), 806, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2170, 519, F2, 2, 34) (dual of [(519, 2), 868, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2170, 1038, F2, 34) (dual of [1038, 868, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(2170, 1039, F2, 34) (dual of [1039, 869, 35]-code), using
- 1 times truncation [i] based on linear OA(2171, 1040, F2, 35) (dual of [1040, 869, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- linear OA(2166, 1024, F2, 35) (dual of [1024, 858, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2151, 1024, F2, 31) (dual of [1024, 873, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- 1 times truncation [i] based on linear OA(2171, 1040, F2, 35) (dual of [1040, 869, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(2170, 1039, F2, 34) (dual of [1039, 869, 35]-code), using
- OOA 2-folding [i] based on linear OA(2170, 1038, F2, 34) (dual of [1038, 868, 35]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.