Information on Result #1717892
Digital (88, 102, 162194)-net over F4, using net defined by OOA based on linear OOA(4102, 162194, F4, 21, 14) (dual of [(162194, 21), 3405972, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4102, 486583, F4, 3, 14) (dual of [(486583, 3), 1459647, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4102, 486584, F4, 3, 14) (dual of [(486584, 3), 1459650, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4102, 486584, F4, 2, 14) (dual of [(486584, 2), 973066, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4102, 524293, F4, 2, 14) (dual of [(524293, 2), 1048484, 15]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4101, 524293, F4, 2, 14) (dual of [(524293, 2), 1048485, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4101, 1048586, F4, 14) (dual of [1048586, 1048485, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(4101, 1048576, F4, 14) (dual of [1048576, 1048475, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(40, 10, F4, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- OOA 2-folding [i] based on linear OA(4101, 1048586, F4, 14) (dual of [1048586, 1048485, 15]-code), using
- 41 times duplication [i] based on linear OOA(4101, 524293, F4, 2, 14) (dual of [(524293, 2), 1048485, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4102, 524293, F4, 2, 14) (dual of [(524293, 2), 1048484, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4102, 486584, F4, 2, 14) (dual of [(486584, 2), 973066, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4102, 486584, F4, 3, 14) (dual of [(486584, 3), 1459650, 15]-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.