Information on Result #1729290
Digital (137, 164, 224749)-net over F8, using net defined by OOA based on linear OOA(8164, 224749, F8, 33, 27) (dual of [(224749, 33), 7416553, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8164, 1123746, F8, 3, 27) (dual of [(1123746, 3), 3371074, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8164, 1123747, F8, 3, 27) (dual of [(1123747, 3), 3371077, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8164, 1123747, F8, 27) (dual of [1123747, 1123583, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(8164, 2097168, F8, 27) (dual of [2097168, 2097004, 28]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8163, 2097167, F8, 27) (dual of [2097167, 2097004, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(8162, 2097152, F8, 27) (dual of [2097152, 2096990, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(8163, 2097167, F8, 27) (dual of [2097167, 2097004, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(8164, 2097168, F8, 27) (dual of [2097168, 2097004, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8164, 1123747, F8, 27) (dual of [1123747, 1123583, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(8164, 1123747, F8, 3, 27) (dual of [(1123747, 3), 3371077, 28]-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.