Information on Result #1717466
Digital (58, 68, 69146)-net over F4, using net defined by OOA based on linear OOA(468, 69146, F4, 15, 10) (dual of [(69146, 15), 1037122, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(468, 138293, F4, 3, 10) (dual of [(138293, 3), 414811, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(468, 138294, F4, 3, 10) (dual of [(138294, 3), 414814, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(468, 138294, F4, 10) (dual of [138294, 138226, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(468, 262166, F4, 10) (dual of [262166, 262098, 11]-code), using
- 1 times code embedding in larger space [i] based on linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(468, 262166, F4, 10) (dual of [262166, 262098, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(468, 138294, F4, 10) (dual of [138294, 138226, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(468, 138294, F4, 3, 10) (dual of [(138294, 3), 414814, 11]-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.