Information on Result #1729312
Digital (71, 99, 760)-net over F8, using net defined by OOA based on linear OOA(899, 760, F8, 33, 28) (dual of [(760, 33), 24981, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(899, 3801, F8, 3, 28) (dual of [(3801, 3), 11304, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(899, 3805, F8, 3, 28) (dual of [(3805, 3), 11316, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(899, 3805, F8, 28) (dual of [3805, 3706, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(899, 4107, F8, 28) (dual of [4107, 4008, 29]-code), using
- construction XX applied to Ce(27) ⊂ Ce(25) ⊂ Ce(24) [i] based on
- linear OA(897, 4096, F8, 28) (dual of [4096, 3999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(81, 10, F8, 1) (dual of [10, 9, 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
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(27) ⊂ Ce(25) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(899, 4107, F8, 28) (dual of [4107, 4008, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(899, 3805, F8, 28) (dual of [3805, 3706, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(899, 3805, F8, 3, 28) (dual of [(3805, 3), 11316, 29]-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.