Information on Result #1705407
Linear OOA(2240, 40396, F2, 8, 26) (dual of [(40396, 8), 322928, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2240, 40396, F2, 6, 26) (dual of [(40396, 6), 242136, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2240, 43695, F2, 6, 26) (dual of [(43695, 6), 261930, 27]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2240, 262170, F2, 26) (dual of [262170, 261930, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2240, 262175, F2, 26) (dual of [262175, 261935, 27]-code), using
- 1 times truncation [i] based on linear OA(2241, 262176, F2, 27) (dual of [262176, 261935, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- linear OA(2235, 262144, F2, 27) (dual of [262144, 261909, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2199, 262144, F2, 23) (dual of [262144, 261945, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, 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
- 1 times truncation [i] based on linear OA(2241, 262176, F2, 27) (dual of [262176, 261935, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2240, 262175, F2, 26) (dual of [262175, 261935, 27]-code), using
- OOA 6-folding [i] based on linear OA(2240, 262170, F2, 26) (dual of [262170, 261930, 27]-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.