Information on Result #1509602
Linear OOA(269, 122, F2, 3, 18) (dual of [(122, 3), 297, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(269, 122, F2, 2, 18) (dual of [(122, 2), 175, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(269, 130, F2, 2, 18) (dual of [(130, 2), 191, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(269, 260, F2, 18) (dual of [260, 191, 19]-code), using
- 1 times truncation [i] based on linear OA(270, 261, F2, 19) (dual of [261, 191, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(269, 256, F2, 19) (dual of [256, 187, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(265, 256, F2, 17) (dual of [256, 191, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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(18) ⊂ Ce(16) [i] based on
- 1 times truncation [i] based on linear OA(270, 261, F2, 19) (dual of [261, 191, 20]-code), using
- OOA 2-folding [i] based on linear OA(269, 260, F2, 18) (dual of [260, 191, 19]-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.