Information on Result #1634348
Linear OOA(2176, 2077, F2, 5, 26) (dual of [(2077, 5), 10209, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2176, 2077, F2, 3, 26) (dual of [(2077, 3), 6055, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2176, 2741, F2, 3, 26) (dual of [(2741, 3), 8047, 27]-NRT-code), using
- strength reduction [i] based on linear OOA(2176, 2741, F2, 3, 27) (dual of [(2741, 3), 8047, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2176, 8223, F2, 27) (dual of [8223, 8047, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2176, 8224, F2, 27) (dual of [8224, 8048, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- 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(2144, 8192, F2, 23) (dual of [8192, 8048, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(26) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(2176, 8224, F2, 27) (dual of [8224, 8048, 28]-code), using
- OOA 3-folding [i] based on linear OA(2176, 8223, F2, 27) (dual of [8223, 8047, 28]-code), using
- strength reduction [i] based on linear OOA(2176, 2741, F2, 3, 27) (dual of [(2741, 3), 8047, 28]-NRT-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.