Information on Result #1696760
Linear OOA(292, 217, F2, 8, 21) (dual of [(217, 8), 1644, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(292, 217, F2, 2, 21) (dual of [(217, 2), 342, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(292, 261, F2, 2, 21) (dual of [(261, 2), 430, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(292, 522, F2, 21) (dual of [522, 430, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(291, 512, F2, 21) (dual of [512, 421, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(282, 512, F2, 19) (dual of [512, 430, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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
- OOA 2-folding [i] based on linear OA(292, 522, F2, 21) (dual of [522, 430, 22]-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.