Information on Result #1735470
Digital (85, 113, 15453)-net over F16, using net defined by OOA based on linear OOA(16113, 15453, F16, 30, 28) (dual of [(15453, 30), 463477, 29]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(16113, 108172, F16, 2, 28) (dual of [(108172, 2), 216231, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16113, 108175, F16, 2, 28) (dual of [(108175, 2), 216237, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16113, 108175, F16, 28) (dual of [108175, 108062, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(16113, 131083, F16, 28) (dual of [131083, 130970, 29]-code), using
- 1 times code embedding in larger space [i] based on linear OA(16112, 131082, F16, 28) (dual of [131082, 130970, 29]-code), using
- trace code [i] based on linear OA(25656, 65541, F256, 28) (dual of [65541, 65485, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- trace code [i] based on linear OA(25656, 65541, F256, 28) (dual of [65541, 65485, 29]-code), using
- 1 times code embedding in larger space [i] based on linear OA(16112, 131082, F16, 28) (dual of [131082, 130970, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(16113, 131083, F16, 28) (dual of [131083, 130970, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16113, 108175, F16, 28) (dual of [108175, 108062, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(16113, 108175, F16, 2, 28) (dual of [(108175, 2), 216237, 29]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.