Information on Result #1682022
Linear OOA(2151, 463, F2, 7, 30) (dual of [(463, 7), 3090, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2151, 463, F2, 2, 30) (dual of [(463, 2), 775, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2151, 517, F2, 2, 30) (dual of [(517, 2), 883, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2151, 1034, F2, 30) (dual of [1034, 883, 31]-code), using
- 1 times truncation [i] based on linear OA(2152, 1035, F2, 31) (dual of [1035, 883, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- 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(2141, 1024, F2, 29) (dual of [1024, 883, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- 1 times truncation [i] based on linear OA(2152, 1035, F2, 31) (dual of [1035, 883, 32]-code), using
- OOA 2-folding [i] based on linear OA(2151, 1034, F2, 30) (dual of [1034, 883, 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.