Information on Result #1781388
Digital (186, 218, 118638)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4218, 118638, F4, 2, 32) (dual of [(118638, 2), 237058, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4218, 131081, F4, 2, 32) (dual of [(131081, 2), 261944, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4218, 262162, F4, 32) (dual of [262162, 261944, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4218, 262163, F4, 32) (dual of [262163, 261945, 33]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(41, 19, F4, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(4218, 262163, F4, 32) (dual of [262163, 261945, 33]-code), using
- OOA 2-folding [i] based on linear OA(4218, 262162, F4, 32) (dual of [262162, 261944, 33]-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.