Information on Result #1849113
OOA(12823, 20651, S128, 4, 10), using extracting embedded OOA based on (13, 23, 20651)-net in base 128, using
- 1 times m-reduction [i] based on (13, 24, 20651)-net in base 128, using
- base change [i] based on digital (10, 21, 20651)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25621, 20651, F256, 3, 11) (dual of [(20651, 3), 61932, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25621, 21846, F256, 3, 11) (dual of [(21846, 3), 65517, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25621, 65538, F256, 11) (dual of [65538, 65517, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- OOA 3-folding [i] based on linear OA(25621, 65538, F256, 11) (dual of [65538, 65517, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(25621, 21846, F256, 3, 11) (dual of [(21846, 3), 65517, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25621, 20651, F256, 3, 11) (dual of [(20651, 3), 61932, 12]-NRT-code), using
- base change [i] based on digital (10, 21, 20651)-net over F256, using
Mode: Arbitrary.
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.