Information on Result #1719564
Digital (150, 176, 22542)-net over F4, using net defined by OOA based on linear OOA(4176, 22542, F4, 33, 26) (dual of [(22542, 33), 743710, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4176, 112711, F4, 3, 26) (dual of [(112711, 3), 337957, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4176, 112714, F4, 3, 26) (dual of [(112714, 3), 337966, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4176, 112714, F4, 2, 26) (dual of [(112714, 2), 225252, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4176, 131083, F4, 2, 26) (dual of [(131083, 2), 261990, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4176, 262166, F4, 26) (dual of [262166, 261990, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4175, 262165, F4, 26) (dual of [262165, 261990, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(25) ⊂ Ce(22) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4175, 262165, F4, 26) (dual of [262165, 261990, 27]-code), using
- OOA 2-folding [i] based on linear OA(4176, 262166, F4, 26) (dual of [262166, 261990, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(4176, 131083, F4, 2, 26) (dual of [(131083, 2), 261990, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4176, 112714, F4, 2, 26) (dual of [(112714, 2), 225252, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4176, 112714, F4, 3, 26) (dual of [(112714, 3), 337966, 27]-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.