Information on Result #3010738
Linear OOA(2105, 262150, F2, 8, 11) (dual of [(262150, 8), 2097095, 12]-NRT-code), using 21 times duplication based on linear OOA(2104, 262150, F2, 8, 11) (dual of [(262150, 8), 2097096, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2104, 262150, F2, 4, 11) (dual of [(262150, 4), 1048496, 12]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2104, 1048600, F2, 11) (dual of [1048600, 1048496, 12]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2102, 1048598, F2, 11) (dual of [1048598, 1048496, 12]-code), using
- construction X4 applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(2101, 1048576, F2, 11) (dual of [1048576, 1048475, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(281, 1048576, F2, 9) (dual of [1048576, 1048495, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(221, 22, F2, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,2)), using
- dual of repetition code with length 22 [i]
- linear OA(21, 22, F2, 1) (dual of [22, 21, 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 X4 applied to Ce(10) ⊂ Ce(8) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(2102, 1048598, F2, 11) (dual of [1048598, 1048496, 12]-code), using
- OOA 4-folding [i] based on linear OA(2104, 1048600, F2, 11) (dual of [1048600, 1048496, 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.