Information on Result #1490976
Linear OOA(8167, 14877, F8, 3, 38) (dual of [(14877, 3), 44464, 39]-NRT-code), using OOA 2-folding based on linear OOA(8167, 29754, F8, 2, 38) (dual of [(29754, 2), 59341, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8167, 29755, F8, 2, 38) (dual of [(29755, 2), 59343, 39]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8167, 29755, F8, 38) (dual of [29755, 29588, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(8167, 32779, F8, 38) (dual of [32779, 32612, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(35) [i] based on
- linear OA(8166, 32768, F8, 38) (dual of [32768, 32602, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(8156, 32768, F8, 36) (dual of [32768, 32612, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(37) ⊂ Ce(35) [i] based on
- discarding factors / shortening the dual code based on linear OA(8167, 32779, F8, 38) (dual of [32779, 32612, 39]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8167, 29755, F8, 38) (dual of [29755, 29588, 39]-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.