Information on Result #1691907
Linear OOA(2220, 604, F2, 8, 37) (dual of [(604, 8), 4612, 38]-NRT-code), using OOA 2-folding based on linear OOA(2220, 1208, F2, 4, 37) (dual of [(1208, 4), 4612, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2220, 1208, F2, 3, 37) (dual of [(1208, 3), 3404, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2220, 1370, F2, 3, 37) (dual of [(1370, 3), 3890, 38]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2219, 1370, F2, 3, 37) (dual of [(1370, 3), 3891, 38]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2219, 4110, F2, 37) (dual of [4110, 3891, 38]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2218, 4109, F2, 37) (dual of [4109, 3891, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(2217, 4096, F2, 37) (dual of [4096, 3879, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2205, 4096, F2, 35) (dual of [4096, 3891, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 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(36) ⊂ Ce(34) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(2218, 4109, F2, 37) (dual of [4109, 3891, 38]-code), using
- OOA 3-folding [i] based on linear OA(2219, 4110, F2, 37) (dual of [4110, 3891, 38]-code), using
- 21 times duplication [i] based on linear OOA(2219, 1370, F2, 3, 37) (dual of [(1370, 3), 3891, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2220, 1370, F2, 3, 37) (dual of [(1370, 3), 3890, 38]-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.