Information on Result #1662313
Linear OOA(287, 32772, F2, 6, 11) (dual of [(32772, 6), 196545, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(287, 32772, F2, 4, 11) (dual of [(32772, 4), 131001, 12]-NRT-code), using
- OOA 4-folding [i] based on linear OA(287, 131088, F2, 11) (dual of [131088, 131001, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(287, 131090, F2, 11) (dual of [131090, 131003, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(286, 131072, F2, 11) (dual of [131072, 130986, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(269, 131072, F2, 9) (dual of [131072, 131003, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 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(10) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(287, 131090, F2, 11) (dual of [131090, 131003, 12]-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.