Information on Result #1735288
Digital (77, 103, 12235)-net over F16, using net defined by OOA based on linear OOA(16103, 12235, F16, 30, 26) (dual of [(12235, 30), 366947, 27]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(16103, 85646, F16, 2, 26) (dual of [(85646, 2), 171189, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16103, 85648, F16, 2, 26) (dual of [(85648, 2), 171193, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16103, 85648, F16, 26) (dual of [85648, 85545, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(16103, 131077, F16, 26) (dual of [131077, 130974, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(16102, 131076, F16, 26) (dual of [131076, 130974, 27]-code), using
- trace code [i] based on linear OA(25651, 65538, F256, 26) (dual of [65538, 65487, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- 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(25649, 65536, F256, 25) (dual of [65536, 65487, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(25) ⊂ Ce(24) [i] based on
- trace code [i] based on linear OA(25651, 65538, F256, 26) (dual of [65538, 65487, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(16102, 131076, F16, 26) (dual of [131076, 130974, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(16103, 131077, F16, 26) (dual of [131077, 130974, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16103, 85648, F16, 26) (dual of [85648, 85545, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(16103, 85648, F16, 2, 26) (dual of [(85648, 2), 171193, 27]-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.