Information on Result #1635919
Linear OOA(2201, 2055, F2, 5, 30) (dual of [(2055, 5), 10074, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2201, 2055, F2, 4, 30) (dual of [(2055, 4), 8019, 31]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2201, 8220, F2, 30) (dual of [8220, 8019, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2201, 8223, F2, 30) (dual of [8223, 8022, 31]-code), using
- 1 times truncation [i] based on linear OA(2202, 8224, F2, 31) (dual of [8224, 8022, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(2196, 8192, F2, 31) (dual of [8192, 7996, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2170, 8192, F2, 27) (dual of [8192, 8022, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- 1 times truncation [i] based on linear OA(2202, 8224, F2, 31) (dual of [8224, 8022, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2201, 8223, F2, 30) (dual of [8223, 8022, 31]-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.