Information on Result #1733252
Digital (104, 134, 9625)-net over F9, using net defined by OOA based on linear OOA(9134, 9625, F9, 33, 30) (dual of [(9625, 33), 317491, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(9134, 48126, F9, 3, 30) (dual of [(48126, 3), 144244, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9134, 48130, F9, 3, 30) (dual of [(48130, 3), 144256, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9134, 48130, F9, 30) (dual of [48130, 47996, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(9134, 59063, F9, 30) (dual of [59063, 58929, 31]-code), using
- construction XX applied to Ce(29) ⊂ Ce(27) ⊂ Ce(25) [i] based on
- linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(91, 12, F9, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 728, F9, 1) (dual of [728, 727, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(91, 728, F9, 1) (dual of [728, 727, 2]-code), using
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to Ce(29) ⊂ Ce(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(9134, 59063, F9, 30) (dual of [59063, 58929, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9134, 48130, F9, 30) (dual of [48130, 47996, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(9134, 48130, F9, 3, 30) (dual of [(48130, 3), 144256, 31]-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.