Information on Result #1716082
Digital (209, 238, 51801)-net over F3, using net defined by OOA based on linear OOA(3238, 51801, F3, 35, 29) (dual of [(51801, 35), 1812797, 30]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3238, 155404, F3, 5, 29) (dual of [(155404, 5), 776782, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3238, 155406, F3, 5, 29) (dual of [(155406, 5), 776792, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3238, 155406, F3, 3, 29) (dual of [(155406, 3), 465980, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3238, 177162, F3, 3, 29) (dual of [(177162, 3), 531248, 30]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3235, 177161, F3, 3, 29) (dual of [(177161, 3), 531248, 30]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3235, 531483, F3, 29) (dual of [531483, 531248, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(24) [i] based on
- linear OA(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-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(28) ⊂ Ce(24) [i] based on
- OOA 3-folding [i] based on linear OA(3235, 531483, F3, 29) (dual of [531483, 531248, 30]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3235, 177161, F3, 3, 29) (dual of [(177161, 3), 531248, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3238, 177162, F3, 3, 29) (dual of [(177162, 3), 531248, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3238, 155406, F3, 3, 29) (dual of [(155406, 3), 465980, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3238, 155406, F3, 5, 29) (dual of [(155406, 5), 776792, 30]-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.