Information on Result #1719571
Linear OOA(4183, 26219, F4, 33, 26) (dual of [(26219, 33), 865044, 27]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(4183, 131096, F4, 3, 26) (dual of [(131096, 3), 393105, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4183, 131096, F4, 2, 26) (dual of [(131096, 2), 262009, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4183, 262192, F4, 26) (dual of [262192, 262009, 27]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4179, 262187, F4, 26) (dual of [262187, 262008, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [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(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- linear OA(4179, 262188, F4, 22) (dual of [262188, 262009, 23]-code), using Gilbert–Varšamov bound and bm = 4179 > Vbs−1(k−1) = 126 386420 590567 319488 563416 867629 380332 842803 554034 935289 136131 014941 399659 198304 045441 815453 097815 818536 [i]
- linear OA(43, 4, F4, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,4) or 4-cap in PG(2,4)), using
- dual of repetition code with length 4 [i]
- Reed–Solomon code RS(1,4) [i]
- linear OA(4179, 262187, F4, 26) (dual of [262187, 262008, 27]-code), using
- construction X with Varšamov bound [i] based on
- OOA 2-folding [i] based on linear OA(4183, 262192, F4, 26) (dual of [262192, 262009, 27]-code), using
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (157, 183, 26219)-net over F4 | [i] | Net Defined by OOA | |