Information on Result #684013
Linear OA(5118, 126, F5, 94) (dual of [126, 8, 95]-code), using construction X applied to Ce(93) ⊂ Ce(92) based on
- linear OA(5118, 125, F5, 94) (dual of [125, 7, 95]-code), using an extension Ce(93) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,93], and designed minimum distance d ≥ |I|+1 = 94 [i]
- linear OA(5117, 125, F5, 93) (dual of [125, 8, 94]-code), using an extension Ce(92) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,92], and designed minimum distance d ≥ |I|+1 = 93 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5118, 126, F5, 93) (dual of [126, 8, 94]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5118, 126, F5, 92) (dual of [126, 8, 93]-code) | [i] | ||
| 3 | Linear OA(5118, 126, F5, 91) (dual of [126, 8, 92]-code) | [i] | ||
| 4 | Linear OA(5118, 126, F5, 90) (dual of [126, 8, 91]-code) | [i] | ||
| 5 | Linear OA(5118, 126, F5, 89) (dual of [126, 8, 90]-code) | [i] | ||
| 6 | Linear OA(5118, 126, F5, 88) (dual of [126, 8, 89]-code) | [i] | ||
| 7 | Linear OA(5118, 126, F5, 87) (dual of [126, 8, 88]-code) | [i] | ||
| 8 | Linear OA(5118, 126, F5, 86) (dual of [126, 8, 87]-code) | [i] | ||
| 9 | Linear OA(5119, 127, F5, 94) (dual of [127, 8, 95]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(5120, 128, F5, 94) (dual of [128, 8, 95]-code) | [i] | ||
| 11 | Linear OA(5116, 124, F5, 92) (dual of [124, 8, 93]-code) | [i] | Truncation | |
| 12 | Linear OA(5115, 123, F5, 91) (dual of [123, 8, 92]-code) | [i] | ||
| 13 | Linear OA(5114, 122, F5, 90) (dual of [122, 8, 91]-code) | [i] | ||
| 14 | Linear OA(5113, 121, F5, 89) (dual of [121, 8, 90]-code) | [i] | ||
| 15 | Linear OA(5112, 120, F5, 88) (dual of [120, 8, 89]-code) | [i] | ||
| 16 | Linear OA(5111, 119, F5, 87) (dual of [119, 8, 88]-code) | [i] | ||
| 17 | Linear OA(5110, 118, F5, 86) (dual of [118, 8, 87]-code) | [i] | ||
| 18 | Linear OA(5109, 117, F5, 85) (dual of [117, 8, 86]-code) | [i] | ||
| 19 | Linear OA(5108, 116, F5, 84) (dual of [116, 8, 85]-code) | [i] | ||
| 20 | Linear OA(5107, 115, F5, 83) (dual of [115, 8, 84]-code) | [i] | ||
| 21 | Linear OA(5106, 114, F5, 82) (dual of [114, 8, 83]-code) | [i] | ||
| 22 | Linear OA(5105, 113, F5, 81) (dual of [113, 8, 82]-code) | [i] | ||
| 23 | Linear OA(5104, 112, F5, 80) (dual of [112, 8, 81]-code) | [i] | ||
| 24 | Linear OA(5103, 111, F5, 79) (dual of [111, 8, 80]-code) | [i] | ||
| 25 | Linear OA(5102, 110, F5, 78) (dual of [110, 8, 79]-code) | [i] | ||
| 26 | Linear OA(5101, 109, F5, 77) (dual of [109, 8, 78]-code) | [i] | ||
| 27 | Linear OA(5100, 108, F5, 76) (dual of [108, 8, 77]-code) | [i] | ||
| 28 | Linear OA(599, 107, F5, 75) (dual of [107, 8, 76]-code) | [i] | ||
| 29 | Linear OA(598, 106, F5, 74) (dual of [106, 8, 75]-code) | [i] | ||
| 30 | Linear OA(597, 105, F5, 73) (dual of [105, 8, 74]-code) | [i] | ||
| 31 | Linear OA(596, 104, F5, 72) (dual of [104, 8, 73]-code) | [i] | ||
| 32 | Linear OA(595, 103, F5, 71) (dual of [103, 8, 72]-code) | [i] | ||
| 33 | Linear OA(594, 102, F5, 70) (dual of [102, 8, 71]-code) | [i] | ||
| 34 | Linear OA(593, 101, F5, 69) (dual of [101, 8, 70]-code) | [i] | ||
| 35 | Linear OA(592, 100, F5, 68) (dual of [100, 8, 69]-code) | [i] | ||
| 36 | Linear OA(591, 99, F5, 67) (dual of [99, 8, 68]-code) | [i] | ||
| 37 | Linear OA(590, 98, F5, 66) (dual of [98, 8, 67]-code) | [i] | ||
| 38 | Linear OA(589, 97, F5, 65) (dual of [97, 8, 66]-code) | [i] | ||
| 39 | Linear OA(588, 96, F5, 64) (dual of [96, 8, 65]-code) | [i] | ||
| 40 | Linear OA(587, 95, F5, 63) (dual of [95, 8, 64]-code) | [i] | ||
| 41 | Linear OA(586, 94, F5, 62) (dual of [94, 8, 63]-code) | [i] | ||
| 42 | Linear OA(585, 93, F5, 61) (dual of [93, 8, 62]-code) | [i] | ||
| 43 | Linear OA(584, 92, F5, 60) (dual of [92, 8, 61]-code) | [i] | ||
| 44 | Linear OA(583, 91, F5, 59) (dual of [91, 8, 60]-code) | [i] | ||
| 45 | Linear OOA(5118, 63, F5, 2, 94) (dual of [(63, 2), 8, 95]-NRT-code) | [i] | OOA Folding | |
| 46 | Linear OOA(5118, 42, F5, 3, 94) (dual of [(42, 3), 8, 95]-NRT-code) | [i] | ||