Information on Result #1720530
Digital (216, 248, 82977)-net over F4, using net defined by OOA based on linear OOA(4248, 82977, F4, 39, 32) (dual of [(82977, 39), 3235855, 33]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4248, 497863, F4, 3, 32) (dual of [(497863, 3), 1493341, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4248, 497863, F4, 2, 32) (dual of [(497863, 2), 995478, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4248, 524310, F4, 2, 32) (dual of [(524310, 2), 1048372, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4248, 1048620, F4, 32) (dual of [1048620, 1048372, 33]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [i] based on
- linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4201, 1048577, F4, 27) (dual of [1048577, 1048376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [i] based on
- OOA 2-folding [i] based on linear OA(4248, 1048620, F4, 32) (dual of [1048620, 1048372, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(4248, 524310, F4, 2, 32) (dual of [(524310, 2), 1048372, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4248, 497863, F4, 2, 32) (dual of [(497863, 2), 995478, 33]-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.