Information on Result #1715926
Digital (203, 231, 55693)-net over F3, using net defined by OOA based on linear OOA(3231, 55693, F3, 35, 28) (dual of [(55693, 35), 1949024, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3231, 167080, F3, 5, 28) (dual of [(167080, 5), 835169, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3231, 167080, F3, 3, 28) (dual of [(167080, 3), 501009, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3231, 177167, F3, 3, 28) (dual of [(177167, 3), 531270, 29]-NRT-code), using
- 32 times duplication [i] based on linear OOA(3229, 177167, F3, 3, 28) (dual of [(177167, 3), 531272, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3229, 531501, F3, 28) (dual of [531501, 531272, 29]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3228, 531500, F3, 28) (dual of [531500, 531272, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3228, 531500, F3, 28) (dual of [531500, 531272, 29]-code), using
- OOA 3-folding [i] based on linear OA(3229, 531501, F3, 28) (dual of [531501, 531272, 29]-code), using
- 32 times duplication [i] based on linear OOA(3229, 177167, F3, 3, 28) (dual of [(177167, 3), 531272, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3231, 177167, F3, 3, 28) (dual of [(177167, 3), 531270, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3231, 167080, F3, 3, 28) (dual of [(167080, 3), 501009, 29]-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.