Information on Result #1191961
Linear OOA(8172, 2097151, F8, 21, 16) (dual of [(2097151, 21), 44039999, 17]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(8172, 6291454, F8, 3, 16) (dual of [(6291454, 3), 18874190, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8172, 6291455, F8, 3, 16) (dual of [(6291455, 3), 18874193, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(850, 699053, F8, 3, 8) (dual of [(699053, 3), 2097109, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(850, 2097159, F8, 8) (dual of [2097159, 2097109, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(850, 2097160, F8, 8) (dual of [2097160, 2097110, 9]-code), using
- construction X4 applied to C([1,8]) ⊂ C([1,6]) [i] based on
- linear OA(849, 2097151, F8, 8) (dual of [2097151, 2097102, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(842, 2097151, F8, 6) (dual of [2097151, 2097109, 7]-code), using the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(88, 9, F8, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,8)), using
- dual of repetition code with length 9 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- construction X4 applied to C([1,8]) ⊂ C([1,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(850, 2097160, F8, 8) (dual of [2097160, 2097110, 9]-code), using
- OOA 3-folding [i] based on linear OA(850, 2097159, F8, 8) (dual of [2097159, 2097109, 9]-code), using
- linear OOA(8122, 5592402, F8, 3, 16) (dual of [(5592402, 3), 16777084, 17]-NRT-code), using
- trace code [i] based on linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- trace code [i] based on linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
- linear OOA(850, 699053, F8, 3, 8) (dual of [(699053, 3), 2097109, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and 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 (156, 172, 2097151)-net over F8 | [i] | Net Defined by OOA | |