Information on Result #1715772
Digital (215, 242, 142624)-net over F3, using net defined by OOA based on linear OOA(3242, 142624, F3, 35, 27) (dual of [(142624, 35), 4991598, 28]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3242, 427873, F3, 5, 27) (dual of [(427873, 5), 2139123, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 427874, F3, 5, 27) (dual of [(427874, 5), 2139128, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3242, 427874, F3, 3, 27) (dual of [(427874, 3), 1283380, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 531456, F3, 3, 27) (dual of [(531456, 3), 1594126, 28]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3241, 531456, F3, 3, 27) (dual of [(531456, 3), 1594127, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3241, 1594368, F3, 27) (dual of [1594368, 1594127, 28]-code), using
- construction X applied to Ce(27) ⊂ Ce(22) [i] based on
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3196, 1594323, F3, 23) (dual of [1594323, 1594127, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(36, 45, F3, 3) (dual of [45, 39, 4]-code or 45-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(27) ⊂ Ce(22) [i] based on
- OOA 3-folding [i] based on linear OA(3241, 1594368, F3, 27) (dual of [1594368, 1594127, 28]-code), using
- 31 times duplication [i] based on linear OOA(3241, 531456, F3, 3, 27) (dual of [(531456, 3), 1594127, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 531456, F3, 3, 27) (dual of [(531456, 3), 1594126, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3242, 427874, F3, 3, 27) (dual of [(427874, 3), 1283380, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 427874, F3, 5, 27) (dual of [(427874, 5), 2139128, 28]-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.