Information on Result #1721530
Digital (214, 257, 4681)-net over F4, using net defined by OOA based on linear OOA(4257, 4681, F4, 45, 43) (dual of [(4681, 45), 210388, 44]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(4257, 32768, F4, 3, 43) (dual of [(32768, 3), 98047, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4257, 32772, F4, 3, 43) (dual of [(32772, 3), 98059, 44]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4257, 32772, F4, 2, 43) (dual of [(32772, 2), 65287, 44]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4257, 65544, F4, 43) (dual of [65544, 65287, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(41) [i] based on
- linear OA(4257, 65536, F4, 43) (dual of [65536, 65279, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4249, 65536, F4, 42) (dual of [65536, 65287, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(42) ⊂ Ce(41) [i] based on
- OOA 2-folding [i] based on linear OA(4257, 65544, F4, 43) (dual of [65544, 65287, 44]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4257, 32772, F4, 2, 43) (dual of [(32772, 2), 65287, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4257, 32772, F4, 3, 43) (dual of [(32772, 3), 98059, 44]-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.