Information on Result #1674966
Linear OOA(2210, 613, F2, 7, 35) (dual of [(613, 7), 4081, 36]-NRT-code), using OOA 2-folding based on linear OOA(2210, 1226, F2, 4, 35) (dual of [(1226, 4), 4694, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2210, 1226, F2, 3, 35) (dual of [(1226, 3), 3468, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2210, 1371, F2, 3, 35) (dual of [(1371, 3), 3903, 36]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2207, 1370, F2, 3, 35) (dual of [(1370, 3), 3903, 36]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2207, 4110, F2, 35) (dual of [4110, 3903, 36]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2206, 4109, F2, 35) (dual of [4109, 3903, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- 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(2193, 4096, F2, 33) (dual of [4096, 3903, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(34) ⊂ Ce(32) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(2206, 4109, F2, 35) (dual of [4109, 3903, 36]-code), using
- OOA 3-folding [i] based on linear OA(2207, 4110, F2, 35) (dual of [4110, 3903, 36]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2207, 1370, F2, 3, 35) (dual of [(1370, 3), 3903, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2210, 1371, F2, 3, 35) (dual of [(1371, 3), 3903, 36]-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.