Information on Result #1691339
Linear OOA(2126, 528, F2, 8, 21) (dual of [(528, 8), 4098, 22]-NRT-code), using OOA 2-folding based on linear OOA(2126, 1056, F2, 4, 21) (dual of [(1056, 4), 4098, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2126, 1057, F2, 4, 21) (dual of [(1057, 4), 4102, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2126, 1057, F2, 3, 21) (dual of [(1057, 3), 3045, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2126, 1371, F2, 3, 21) (dual of [(1371, 3), 3987, 22]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2123, 1370, F2, 3, 21) (dual of [(1370, 3), 3987, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2123, 4110, F2, 21) (dual of [4110, 3987, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2122, 4109, F2, 21) (dual of [4109, 3987, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(2121, 4096, F2, 21) (dual of [4096, 3975, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2109, 4096, F2, 19) (dual of [4096, 3987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(20) ⊂ Ce(18) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(2122, 4109, F2, 21) (dual of [4109, 3987, 22]-code), using
- OOA 3-folding [i] based on linear OA(2123, 4110, F2, 21) (dual of [4110, 3987, 22]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2123, 1370, F2, 3, 21) (dual of [(1370, 3), 3987, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2126, 1371, F2, 3, 21) (dual of [(1371, 3), 3987, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2126, 1057, F2, 3, 21) (dual of [(1057, 3), 3045, 22]-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.