Information on Result #1719874
Digital (153, 181, 10354)-net over F4, using net defined by OOA based on linear OOA(4181, 10354, F4, 33, 28) (dual of [(10354, 33), 341501, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4181, 51771, F4, 3, 28) (dual of [(51771, 3), 155132, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4181, 51773, F4, 3, 28) (dual of [(51773, 3), 155138, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4181, 51773, F4, 28) (dual of [51773, 51592, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, 65588, F4, 28) (dual of [65588, 65407, 29]-code), using
- 1 times truncation [i] based on linear OA(4182, 65589, F4, 29) (dual of [65589, 65407, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(413, 53, F4, 6) (dual of [53, 40, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- 1 times truncation [i] based on linear OA(4182, 65589, F4, 29) (dual of [65589, 65407, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, 65588, F4, 28) (dual of [65588, 65407, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4181, 51773, F4, 28) (dual of [51773, 51592, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(4181, 51773, F4, 3, 28) (dual of [(51773, 3), 155138, 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.