Information on Result #1717702
Digital (88, 100, 1048578)-net over F4, using net defined by OOA based on linear OOA(4100, 1048578, F4, 15, 12) (dual of [(1048578, 15), 15728570, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4100, 2097157, F4, 3, 12) (dual of [(2097157, 3), 6291371, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4100, 2097158, F4, 3, 12) (dual of [(2097158, 3), 6291374, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4100, 2097158, F4, 2, 12) (dual of [(2097158, 2), 4194216, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4100, 4194316, F4, 12) (dual of [4194316, 4194216, 13]-code), using
- construction X4 applied to C([1,12]) ⊂ C([1,10]) [i] based on
- linear OA(499, 4194303, F4, 12) (dual of [4194303, 4194204, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(488, 4194303, F4, 10) (dual of [4194303, 4194215, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(412, 13, F4, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,4)), using
- dual of repetition code with length 13 [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 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 X4 applied to C([1,12]) ⊂ C([1,10]) [i] based on
- OOA 2-folding [i] based on linear OA(4100, 4194316, F4, 12) (dual of [4194316, 4194216, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4100, 2097158, F4, 2, 12) (dual of [(2097158, 2), 4194216, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4100, 2097158, F4, 3, 12) (dual of [(2097158, 3), 6291374, 13]-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.