Information on Result #1553053
Linear OOA(799, 16841, F7, 3, 22) (dual of [(16841, 3), 50424, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(799, 16841, F7, 22) (dual of [16841, 16742, 23]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(798, 16839, F7, 22) (dual of [16839, 16741, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(766, 16807, F7, 16) (dual of [16807, 16741, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(77, 32, F7, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(798, 16840, F7, 21) (dual of [16840, 16742, 22]-code), using Gilbert–Varšamov bound and bm = 798 > Vbs−1(k−1) = 4993 559437 446569 472312 790321 534420 969142 330463 973824 796958 407964 707106 334702 208759 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(798, 16839, F7, 22) (dual of [16839, 16741, 23]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(799, 4210, F7, 27, 22) (dual of [(4210, 27), 113571, 23]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |