Information on Result #1723494
Digital (102, 123, 15244)-net over F5, using net defined by OOA based on linear OOA(5123, 15244, F5, 27, 21) (dual of [(15244, 27), 411465, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5123, 60977, F5, 3, 21) (dual of [(60977, 3), 182808, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5123, 60980, F5, 3, 21) (dual of [(60980, 3), 182817, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5123, 60980, F5, 21) (dual of [60980, 60857, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5123, 78137, F5, 21) (dual of [78137, 78014, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([1,10]) [i] based on
- linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(5112, 78126, F5, 10) (dual of [78126, 78014, 11]-code), using the narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(510, 11, F5, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,5)), using
- dual of repetition code with length 11 [i]
- construction X applied to C([0,10]) ⊂ C([1,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(5123, 78137, F5, 21) (dual of [78137, 78014, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5123, 60980, F5, 21) (dual of [60980, 60857, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(5123, 60980, F5, 3, 21) (dual of [(60980, 3), 182817, 22]-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.